5924
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10374
- Proper Divisor Sum (Aliquot Sum)
- 4450
- 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
- 2960
- Möbius Function
- 0
- Radical
- 2962
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 36
- 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
- A generalized partition function.at n=14A002602
- Expansion of e.g.f. cos(log(1+x)/exp(x)).at n=8A009034
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=23A020405
- Number of solutions to c(1)*prime(4) + ... + c(n)*prime(n+3) = 2, where c(i) = +-1 for i > 1, c(1) = 1.at n=21A022920
- 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 38.at n=41A031536
- Numbers whose set of base-14 digits is {2,3}.at n=16A032814
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=30A043079
- Numbers having three 4's in base 8.at n=31A043439
- a(n) is twice the smallest k such that A051686(k) = prime(n).at n=23A051692
- Twice the positions in A051686 at which new primes appear in that sequence.at n=32A051861
- McKay-Thompson series of class 17A for the Monster simple group.at n=16A058530
- Integer part of log(n)^sqrt(n).at n=42A062463
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=31A063354
- Numbers k such that phi(sigma(k)+k) = sigma(k-phi(k)), where phi is A000010 and sigma is A000203.at n=25A063710
- Length of period of continued fraction for square root of -1 + n!.at n=14A078146
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=19A081378
- Numbers m such that pi(m) = 1^d_1 + 2^d_2 + ... + k^d_k where d_1 d_2 ... d_k is the decimal expansion of m.at n=5A112718
- Number of permutations of length n which avoid the patterns 2134, 3142, 3421.at n=8A116776
- Numbers k such that binomial(3k, k) - 1 is prime.at n=20A125220
- Number of base 16 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125353