1960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 5130
- Proper Divisor Sum (Aliquot Sum)
- 3170
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 6
- 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
- 24
- 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
- Number of partitions into non-integral powers.at n=21A000327
- Unsigned Stirling numbers of first kind s(n,5).at n=3A000482
- a(n) = 10*a(n-1) - a(n-2) with a(0) = 0, a(1) = 2.at n=4A001078
- Stirling numbers of first kind, s(n+3, n), negated.at n=4A001303
- Absolute value of Glaisher's alpha(n).at n=11A002290
- Number of unrooted achiral trees with n nodes.at n=24A003244
- Numbers n such that n^32 + 1 is prime.at n=37A006315
- a(n) = n*(n+1)*(n+8)/6.at n=20A006503
- Irregular triangle read by rows: Whitney numbers of the second kind a(n,k), n >= 1, k >= 0, for the star poset.at n=52A007799
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=35A008581
- Number of parts in all partitions of n into distinct parts.at n=32A015723
- Number of permutations of {1,2,...,n} in which each element follows its proper divisors.at n=9A016021
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 12.at n=12A022317
- Number of partitions of n into parts of 20 kinds.at n=3A023018
- a(n) = [ n/{n*sqrt(6)} ], where {x} := x - [ x ].at n=48A024558
- a(n) = Sum_{k=0..n} (k+1) * A026659(n,k).at n=8A026980
- a(n) = n*(n + 9).at n=40A028569
- a(n) = floor(5*n^2/2).at n=28A032526
- Every run of digits of n in base 7 has length 2.at n=30A033005
- Numbers whose base-7 expansion has no run of digits with length < 2.at n=40A033020