16151
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16704
- Proper Divisor Sum (Aliquot Sum)
- 553
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15600
- Möbius Function
- 1
- Radical
- 16151
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.at n=31A004928
- a(n) = round(n*phi^13), where phi is the golden ratio, A001622.at n=31A004948
- q-Catalan numbers (binomial version) for q=-5.at n=3A015060
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=26A062693
- a(n) = (2*n-1)*(13*n^2-13*n+6)/6.at n=15A063493
- Array of quadratic pseudofibonacci sequences, read by antidiagonals.at n=20A113592
- Array of quadratic pseudofibonacci sequences, read by antidiagonals.at n=25A113592
- a(1) = a(2) = 1, a(n+2) = 2*a(n) + a(n+1)^2.at n=5A113848
- a(n) = (n^4 + 46*n^3 - 169*n^2 + 146*n + 24)/24.at n=17A143059
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 1), (0, 0, -1), (1, 0, 0)}.at n=10A148255
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=50A257795
- Number of independent vertex sets and vertex covers in the n-gear graph.at n=9A287350
- Trajectory of 48 under the map x -> A289667(x).at n=8A290350
- Records in A171797 starting from a(1).at n=31A305396
- Total sum of parts which are cubes in all partitions of n.at n=27A342229
- Numbers k of the form (x + y)*(x^2 + y^2) such that (x + y) and (x^2 + y^2) are primes.at n=27A349202
- Number of integer compositions of n whose leaders of strictly decreasing runs are weakly increasing.at n=19A374764