14872
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32940
- Proper Divisor Sum (Aliquot Sum)
- 18068
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- 0
- Radical
- 286
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- T(n,4), array T as in A050186; a count of aperiodic binary words.at n=22A050189
- Column 5 of triangle A055898.at n=6A055901
- a(n) = (11*n+5)*(n+4)*(n+3)*(n+2)*(n+1)/120.at n=9A056118
- a(n) is the number of terms in the expansion of (x+y+z)*(x^2+y^2+z^2)*(x^3+y^3+z^3)*...*(x^n+y^n+z^n).at n=17A086796
- Exponential aspiring numbers.at n=22A127658
- a(2*n) = n*a(n); a(2*n+1) = n*a(n) + a(n+1), with a(1) = 1.at n=51A176528
- Number of partitions of n minus the number of primes <= n.at n=34A183151
- a(n) = 22*n^2.at n=26A195323
- Triangle of coefficients of polynomials u(n,x) jointly generated with A207623; see the Formula section.at n=51A207622
- Number of cyclotomic cosets of 13 mod 10^n.at n=43A221855
- Numerator of the mean of all parts of all partitions of n.at n=27A236360
- a(n) = binomial(2*n-4,n-1)*(n+3)/n.at n=9A271823
- Convolution of the odd-indexed triangular numbers (A000384(n+1)) and the squares (A000290).at n=11A277229
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A294543
- Numbers k such that (35*10^k - 737)/9 is prime.at n=16A295397
- a(n) = 4*p(n), where p(n) is the number of partitions of n.at n=28A299474
- Number of free pure symmetric multifunctions whose leaves are a normal multiset of size n.at n=4A317653
- Triangle T(n,m) = (2*m*n+2*n-2*m^2+1)*C(2*n+2,2*m+1)/(4*n+2).at n=31A338523
- Triangle T(n,m) = (2*m*n+2*n-2*m^2+1)*C(2*n+2,2*m+1)/(4*n+2).at n=32A338523
- Partial sums of products of proper divisors of n (A007956).at n=24A339308