2523
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3484
- Proper Divisor Sum (Aliquot Sum)
- 961
- 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
- 1624
- Möbius Function
- 0
- Radical
- 87
- 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
- 133
- 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
- Number of indecomposable self-dual binary codes of length 2n.at n=16A003178
- Coordination sequence T3 for Zeolite Code FER.at n=31A008108
- Coordination sequence T2 for Zeolite Code HEU.at n=33A008117
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=19A013935
- From George Gilbert's marks problem: jumping 3 marks at a time (initial positions).at n=15A019592
- Number of 3's in n-th term of A006711.at n=33A022479
- Number of partitions of n into an even number of parts, the least being 6; also, a(n+6) = number of partitions of n into an odd number of parts, each >=6.at n=72A027198
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026747.at n=4A027226
- Coordination sequence T4 for Zeolite Code CGS.at n=37A027368
- 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=23A031513
- Lucky numbers with size of gaps equal to 12 (upper terms).at n=31A031895
- a(n) = floor(n^3 / e).at n=19A032636
- Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1.at n=7A033121
- a(n) = 3*n^2.at n=29A033428
- a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=31A033680
- Multiplicity of highest weight (or singular) vectors associated with character chi_142 of Monster module.at n=36A034530
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=40A036812
- Sums of 5 distinct powers of 3.at n=32A038467
- Denominators of continued fraction convergents to sqrt(666).at n=9A042281
- Numbers k such that string 3,3 occurs in the base 8 representation of k but not of k-1.at n=39A044214