992
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 1024
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 480
- Möbius Function
- 0
- Radical
- 62
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 111
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- neunhundertzweiundneunzig· ordinal: neunhundertzweiundneunzigste
- English
- nine hundred ninety-two· ordinal: nine hundred ninety-second
- Spanish
- novecientos noventa y dos· ordinal: 992º
- French
- neuf cent quatre-vingt-douze· ordinal: neuf cent quatre-vingt-douzième
- Italian
- novecentonovantadue· ordinal: 992º
- Latin
- nongenti nonaginta duo· ordinal: 992.
- Portuguese
- novecentos e noventa e dois· ordinal: 992º
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=30A000082
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=13A000954
- a(n) = (3*n+1)*(3*n+2).at n=10A001504
- Number of h-cobordism classes of smooth homotopy n-spheres.at n=10A001676
- Number of equivalence classes with primitive period n of base 3 necklaces, where necklaces are equivalent under rotation and permutation of symbols.at n=9A002075
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=31A002378
- A generalized partition function.at n=13A002598
- a(n) = 2*n*(2*n-1).at n=16A002939
- The square sieve.at n=56A002960
- Numbers that are the sum of 12 positive 6th powers.at n=17A003368
- Number of protruded partitions of n with largest part at most 5.at n=10A005406
- Expansion of Jacobi nome q in terms of parameter m/16.at n=4A005797
- Theta series of D_4 lattice with respect to deep hole.at n=37A005879
- Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.at n=42A007622
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=23A008083
- Coordination sequence T4 for Zeolite Code MFI.at n=20A008167
- Coordination sequence T2 for Zeolite Code PAU.at n=23A008220
- Coordination sequence T4 for Zeolite Code PAU.at n=23A008222
- Coordination sequence T7 for Zeolite Code PAU.at n=23A008225
- Poupard's triangle: triangle of numbers arising in enumeration of binary trees.at n=17A008301