6951
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10624
- Proper Divisor Sum (Aliquot Sum)
- 3673
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- -1
- Radical
- 6951
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 111
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Stirling numbers of the second kind, S(n,5).at n=4A000481
- Stirling numbers of the second kind S(n+4, n).at n=5A001298
- Numbers that are the sum of 12 positive 7th powers.at n=39A003379
- Divisors of 2^30 - 1.at n=35A003538
- Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n.at n=40A008277
- Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n.at n=40A008278
- Strong pseudoprimes to base 64.at n=26A020290
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=31A026044
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 54.at n=40A031552
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=33A031897
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 5).at n=57A035578
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 4).at n=52A046779
- Triangle of Stirling numbers of 2nd kind, S(n,k), n >= 0, 0 <= k <= n.at n=50A048993
- Triangle of up-down sums of k-th powers: a(n,k)=sum(i^k,i=1..n)+sum((n-i)^k,i=1..n-1), n,k>0.at n=48A051672
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=35A056068
- Number of primitive (aperiodic) word structures of length n which contain exactly five different symbols.at n=8A056281
- Number of palindromic structures using exactly five different symbols.at n=16A056474
- Number of palindromic structures using exactly five different symbols.at n=17A056474
- Number of primitive (aperiodic) palindromic structures using exactly five different symbols.at n=16A056484
- Number of periodic palindromic structures of length n using exactly five different symbols.at n=16A056511