16387
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
- 18736
- Proper Divisor Sum (Aliquot Sum)
- 2349
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14040
- Möbius Function
- 1
- Radical
- 16387
- 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
- 53
- 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
- Numbers that are the sum of 4 positive 7th powers.at n=15A003371
- Numbers that are the sum of 11 positive 11th powers.at n=8A004822
- Numbers that are the sum of at most 4 positive 7th powers.at n=38A004866
- Smallest number > 1 equal to sum of n-th powers of its base-5 digits, or 0 if no such number exists (written in base 10).at n=12A033837
- a(n) = 2^n + 3.at n=14A062709
- Replace 0 with 0000 in binary representation of n.at n=34A084473
- a(n) = (2^(n-1) + prime(n+1)-prime(n))/2.at n=15A085431
- Numbers k such that the digits of sigma(k) are a permutation of those of k, in base 10.at n=21A115920
- Inverse Moebius transform of A037019.at n=25A130114
- Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers.at n=16A139783
- Powers of 2 with 3 alternatingly added and subtracted.at n=14A140657
- 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), (0, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149466
- Base 5 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-5 digits, for some k.at n=17A162222
- a(n) = smallest number that leads to a new fixed point under the base-2 Kaprekar map of A164884.at n=38A164887
- Array T(n, k) = k^(n-1) + (k-1)*cos(n*Pi/2), read by antidiagonals.at n=47A174006
- a(n) = 2*a(n-1) + a(n-2) + a(n-3) + a(n-4), a(-2)=0, a(-1)=0, a(0)=1, a(1)=1.at n=11A190139
- Inversion sets of finite permutations that have only 0's and 1's in their inversion vectors.at n=19A211364
- Numbers n such that m + (sum of digits in base-4 representation of m) = n has exactly three solutions.at n=1A230635
- Numbers of the form 2^k+3 or 3*2^k+1, k >= 2.at n=23A245179
- A070952(2^n-1).at n=14A246597