5125
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
- 8
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 1427
- 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
- 4000
- Möbius Function
- 0
- Radical
- 205
- 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
- 54
- 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
- no
- Odd
- yes
Appears in sequences
- Partial sums of A006206.at n=21A001461
- Discriminants of totally real quartic fields (see comments).at n=17A002769
- Numbers that are the sum of 10 positive 10th powers.at n=5A004810
- Coordination sequence T3 for Zeolite Code MEL.at n=46A008152
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=33A015616
- Numbers k such that k | 4^k + 1.at n=9A015950
- Numbers k that divide 4^k + 1, k not a power of 5.at n=3A015974
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=28A020389
- Discriminants of totally real quartic fields.at n=20A023680
- n written in fractional base 9/5.at n=41A024653
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=23A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=23A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=23A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=23A025314
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=46A026059
- When squared gives number composed of digits {2,5,6}.at n=10A030486
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 4).at n=43A035543
- Sums of 4 distinct powers of 4.at n=25A038472
- Number of partitions satisfying cn(0,5) + cn(1,5) <= cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=33A039886
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=10A045032