4504
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8460
- Proper Divisor Sum (Aliquot Sum)
- 3956
- 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
- 2248
- Möbius Function
- 0
- Radical
- 1126
- Omega Function (Ω)
- 4
- 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
- 46
- 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
- Numbers that are the sum of 5 positive 7th powers.at n=12A003372
- Numbers that are the sum of at most 5 positive 7th powers.at n=42A004867
- Coordination sequence T2 for Zeolite Code BRE.at n=44A008059
- Numbers k such that phi(k) + 9 | sigma(k + 9).at n=40A015788
- Numbers k such that Fib(k) == -21 (mod k).at n=37A023168
- a(n) = [ 3rd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=10A025194
- 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 15.at n=34A031513
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 4).at n=42A035543
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+5 or 12k-5.at n=51A036019
- Positive numbers having the same set of digits in base 7 and base 8.at n=39A037438
- Coordination sequence T2 for Zeolite Code AWO.at n=46A038407
- Sets of 4 consecutive numbers with equal number of divisors.at n=9A039665
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(1,5) + cn(4,5) + cn(3,5).at n=29A039902
- McKay-Thompson series of class 12E for the Monster group.at n=22A058483
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=34A063361
- Fundamental discriminants of real quadratic number fields with class number 5.at n=20A094614
- Numbers k such that k + (largest digit of k)! is a square.at n=31A095927
- a(n) = 100*n + 4.at n=45A102439
- 1 + sum of first n 3-almost primes.at n=45A110209
- McKay-Thompson series of class 24b for the Monster group.at n=22A112162