15936
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 42672
- Proper Divisor Sum (Aliquot Sum)
- 26736
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5248
- Möbius Function
- 0
- Radical
- 498
- Omega Function (Ω)
- 8
- 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
- 53
- 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
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=39A007374
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=41A014573
- 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 63.at n=24A031561
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 5).at n=50A035566
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17.at n=6A064245
- Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0.at n=11A067981
- Smallest number k for which the set of solutions to phi(x) = k has 2n-1 entries.at n=20A071387
- Least number m such that cardinality of InvPhi(m) = prime(n).at n=12A071389
- Records in A007374.at n=15A105207
- Matrix square of triangle A107671.at n=7A107674
- Row sums of triangle A131336.at n=16A131337
- a(n) = 11^n+6^n-1^n.at n=4A155649
- 8th column of A172119.at n=14A172317
- E.g.f. satisfies: A(sinh(x)) = x*cosh(A(x)).at n=8A201954
- Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<=3z.at n=17A212517
- Number of nX7 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns.at n=3A221786
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns.at n=48A221787
- Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns.at n=6A221789
- Number of (n+1) X (2+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.at n=3A235443
- Number of (n+1)X(4+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.at n=1A235445