12552
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31440
- Proper Divisor Sum (Aliquot Sum)
- 18888
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4176
- Möbius Function
- 0
- Radical
- 3138
- Omega Function (Ω)
- 5
- 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
- 37
- 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
- Glaisher's function V(n).at n=26A002611
- a(n) = 10000*log_10(n) rounded down.at n=17A004228
- Weighted count of partitions with odd parts.at n=44A005896
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 28.at n=7A031706
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x12^2 = n.at n=11A045853
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=44A048191
- Numbers k such that the "inventory" A063850 of k is a perfect square.at n=14A079465
- a(n) = 1 + Sum(prime(i)*(2*i-1): 1<=i<=n).at n=17A083215
- Number of columns in the character table of the symmetric group S_n that have zero sum.at n=34A085642
- Row sums of triangle A143102.at n=32A143103
- Number of 8X8 arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to n.at n=15A156397
- a(n) = 64*n^2 + 8.at n=13A158488
- E.g.f. exp(-x)*exp(exp(2*x)/2-1/2)/2 + 1/2.at n=8A166922
- Triangle of coefficients of polynomials u(n,x) jointly generated with A208750; see the Formula section.at n=59A208749
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>1.at n=15A211613
- Total sum of parts of multiplicity 9 in all partitions of n.at n=40A222737
- Number of distinct values of the sum of i^2 over 8 realizations of i in 0..n.at n=40A225275
- Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237905
- Number of (n+1)X(3+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A237907
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=3A237911