2492
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2548
- 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
- 1056
- Möbius Function
- 0
- Radical
- 1246
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- Smith Number
- no
- Vampire 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
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=39A001305
- Nearest integer to exponential integral of n.at n=9A002460
- Engel expansion of Pi.at n=9A006784
- Number of strict 5th-order maximal independent sets in path graph.at n=44A007385
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=14A007589
- Coordination sequence T4 for Zeolite Code STI.at n=34A008237
- Coefficient of x^n in Product_{k>=1} 1/(1-x^k)^n.at n=6A008485
- Coordination sequence T2 for Zeolite Code -CHI.at n=32A009847
- Coordination sequence T3 for Zeolite Code -CHI.at n=32A009848
- Coordination sequence T1 for Zeolite Code -CLO.at n=44A009850
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=39A011904
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=16A014148
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=32A015728
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VSV = VPI-7 Na26H6[Zn16Si56O144].44H2O starting from a T1 atom.at n=11A019260
- Fibonacci sequence beginning 0, 28.at n=11A022362
- Number of partitions of n into parts of 6 kinds.at n=6A023005
- a(n) = prime(n)*prime(n-1) + 1.at n=15A023523
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=23A025005
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=33A026062
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 23 (most significant digit on left).at n=15A029468