3972
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
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9296
- Proper Divisor Sum (Aliquot Sum)
- 5324
- 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
- 1320
- Möbius Function
- 0
- Radical
- 1986
- 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
- 95
- 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
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=11A006564
- Numbers k such that k*4^k + 1 is prime.at n=10A007646
- Number of permutations that are 2 "block reversals" away from 12...n.at n=10A007972
- Coordination sequence T2 for Zeolite Code AWW.at n=45A008046
- Pseudoprimes to base 85.at n=35A020213
- a(n) = a(n-1) + Sum_{k=0..n-4} a(k)*a(n-4-k), a(0) = 1. Generalized Catalan Numbers.at n=17A023426
- Expansion of (3-2*x-3*x^2-4*x^3)/(1-3*x+x^2+x^3+x^4).at n=9A024876
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=46A024927
- 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 42.at n=16A031540
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 42.at n=2A031720
- Coordination sequence T2 for Zeolite Code STF.at n=42A038441
- Numerators of continued fraction convergents to sqrt(157).at n=7A041288
- Obtainable by applying +, * and exponentiation to its own digits.at n=17A046469
- Numbers n such that n | sigma_10(n).at n=32A055714
- Difference between partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=21A056870
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=30A063361
- Increasingly larger bases required for composite numbers to become prime by base reversal (A075243).at n=44A074901
- First occurrence of n as a term in the continued fraction for sqrt(Pi).at n=45A076589
- "Orderly" Friedman numbers (or "good" or "nice" Friedman numbers): Friedman numbers (A036057) where the construction digits are used in the proper order.at n=11A080035
- Friedman numbers that involve the "^" sign.at n=38A083509