14157
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24206
- Proper Divisor Sum (Aliquot Sum)
- 10049
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7920
- Möbius Function
- 0
- Radical
- 429
- 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
- 58
- 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
- a(n) = (4*n+1)*(4*n+5).at n=29A003185
- Molien series for real extraspecial group 2^{1+2*3} of degree 8 and order 128 formed from tensor products of Pauli matrices (0,1, 1,0) and (1,0, 0,-1).at n=10A014095
- Molien series for complex 8-dimensional group N_3 of order 2^(2.3+2), a central extension of an extraspecial 2-group.at n=5A027629
- a(n) is the cototient of n^3.at n=32A053192
- Sequence associated with palindromic structures.at n=7A086444
- Positions of records in A110566.at n=19A112809
- Partial sums of A102540 (primes that are not Chen primes).at n=39A115606
- Composite numbers such that the cube root of the sum of cubes of their prime factors is an integer.at n=5A134608
- Composite numbers such that the cube root of the sum of cubes of their prime factors is a prime.at n=0A134610
- Number of sequences of length n with elements {-2,-1,+1,+2}, counted up to simultaneous reversal and negation, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (undirected) cycles on the circulant graph C_n(1,2).at n=24A137726
- First trisection of A061037 (Balmer line series of the hydrogen atom).at n=39A142590
- a(n) = (8*n+5)*(8*n+9).at n=14A146302
- 13 times the squares: a(n) = 13*n^2.at n=33A152742
- a(n) = n*(19*n-15)/2.at n=39A226490
- Expansion of (3-2*x)/(1-x-x^3)+x/(1-x)^2+x/(1-x^2).at n=25A226509
- Least positive integer k such that prime(k*n) has the form p^2 - 2 with p prime, or 0 if no such k exists.at n=20A253257
- Number of set partitions of [n] with maximal block length multiplicity equal to eight.at n=5A271737
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 606", based on the 5-celled von Neumann neighborhood.at n=32A273206
- Triangle T read by rows: T(n, m), for n >= 2, and m=1, 2, ..., n-1, equals the positive integer solution x of y^2 = x^3 - A(n, m)^2*x with the area A(n, m) = A249869(n, m) of the primitive Pythagorean triangle characterized by (n, m) or 0 if no such triangle exists.at n=46A278711
- Numbers k such that (76*10^k + 77)/9 is prime.at n=18A294633