14974
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 22464
- Proper Divisor Sum (Aliquot Sum)
- 7490
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7486
- Möbius Function
- 1
- Radical
- 14974
- Omega Function (Ω)
- 2
- 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
- 71
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- MacMahon's generalized sum of divisors function.at n=21A002128
- Number of paraffins.at n=31A006001
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 90 ones.at n=9A031858
- Offsets for the Atkin Partition Congruence theorem.at n=43A036492
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=27A045614
- a(n) is the minimal positive integral solution k to 24*k == 1 (mod 5^n).at n=5A052462
- a(n) = n^3 - n^2 - n - 1.at n=25A083074
- Number of triangulations (by Euclidean triangles) having 3+3n vertices of a triangle with each side subdivided by n additional points.at n=5A087809
- Number of permutations of length n which avoid the patterns 2314, 3421, 4123.at n=9A116812
- a(n) = Sum_{k=0..(n-2)/2} a(k)a*(n-1-k), with a(0) = a(1) = 1.at n=17A124973
- G.f.: (2*x+4*x^2+4*x^3+4*x^4+2*x^5)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).at n=13A127790
- Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted.at n=28A166537
- Number of (n+2)X5 binary matrices with every 3X3 block having exactly four 1's.at n=4A181257
- Number of (n+2)X7 binary matrices with every 3X3 block having exactly four 1's.at n=2A181259
- T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's.at n=23A181262
- T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's.at n=25A181262
- Number of strings of numbers x(i=1..n) in 0..3 with sum i*x(i)^4 equal to n*81.at n=12A184842
- Dispersion of ([n*x+n+3/2]), where x=(golden ratio) and [ ]=floor, by antidiagonals.at n=56A191434
- Number of -n..n arrays x(0..4) of 5 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.at n=8A200194
- Number of n X n 0..2 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=2A207544