33 (number)

"number 33" redirects here. For other uses, see 33 (disambiguation).

← 32 33 34 →
← 30 31 32 33 34 35 36 37 38 39 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	thirty-three
Ordinal	33rd (thirty-third)
Factorization	3 × 11
Divisors	1, 3, 11, 33
Greek numeral	ΛΓ´
Roman numeral	XXXIII, xxxiii
Binary	1000012
Ternary	10203
Senary	536
Octal	418
Duodecimal	2912
Hexadecimal	2116

33 (thirty-three) is the natural number following 32 and preceding 34.

In mathematics

33 is a composite number.

33 was the second to last number less than 100 whose representation as a sum of three cubes was found (in 2019): ^[1] $${\displaystyle 33=8866128975287528^{3}+(-8778405442862239)^{3}+(-2736111468807040)^{3}.}$$33 is the last of seven numbers in the positive definite quadratic integer matrix representative of all odd numbers: {1, 3, 5, 7, 11, 15, 33}. ^{[2] [3]}

In religion and mythology

• Islamic prayer beads are generally arranged in sets of 33, corresponding to the widespread use of this number in dhikr rituals. Such beads may number 33 in total or three distinct sets of 33 for a total of 99, corresponding to the names of God.
• 33 is a master number in New Age numerology, along with 11 and 22. ^[4]
• Jesus Christ is thought to have been 33 years of age when he was crucified on Golgotha, outside Jerusalem.^{[ citation needed ]}

Other cultural references

• "33" appears on every bottle of Rolling Rock beer. No definitive meaning has been identified, though theories include that is the year of Prohibition ending in the US and the number of letters in quality statement also printed on the bottle. The company website states 'nobody knows' the reason, but list several popular theories. ^[5]

References

1. Booker, Andrew R. (2019). "Cracking the problem with 33". arXiv: 1903.04284 [math.NT].
2. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate Texts in Mathematics. Vol. 239 (1st ed.). Springer. pp. 312–314. doi:10.1007/978-0-387-49923-9. ISBN   978-0-387-49922-2. OCLC   493636622. Zbl   1119.11001.
3. Sloane, N. J. A. (ed.). "SequenceA116582(Numbers from Bhargava's 33 theorem.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-10-09.
4. Sharp, Damian (2001). Simple Numerology: A Simple Wisdom book (A Simple Wisdom Book series). Red Wheel. p. 7. ISBN   978-1573245609.
5. "Age Check". www.rollingrock.com. Retrieved 2025-09-30.

External links

• Prime Curios! 33 from the Prime Pages
• "33 is the sum of three cubes". Wolfram Alpha .