3172
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6076
- Proper Divisor Sum (Aliquot Sum)
- 2904
- 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
- 1440
- Möbius Function
- 0
- Radical
- 1586
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- 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+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=46A001973
- Numbers that are the sum of 8 positive 6th powers.at n=34A003364
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=21A005892
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=21A007811
- Coordination sequence T5 for Zeolite Code AET.at n=39A008011
- Coordination sequence T1 for Zeolite Code AFG.at n=39A008012
- Coordination sequence T4 for Zeolite Code DOH.at n=35A008081
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=41A008083
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=41A008093
- Coordination sequence T1 for Zeolite Code KFI.at n=43A008123
- Coordination sequence T1 for Zeolite Code LOS.at n=39A008132
- Coordination sequence for 5-dimensional lonsdaleite.at n=8A008525
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=27A014569
- Number of partitions of n into distinct parts, none being 2.at n=54A015744
- Expansion of 1/((1-4*x)*(1-7*x)*(1-9*x)).at n=3A019613
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 12.at n=13A022317
- Self-convolution of composite numbers.at n=15A023648
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=15A023664
- Coordination sequence T7 for Zeolite Code MWW.at n=38A024992
- Least number of Sort-then-add persistence n.at n=21A033863