15937
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15938
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15936
- Möbius Function
- -1
- Radical
- 15937
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1858
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=18A002645
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=26A023286
- Primes that remain prime through 4 iterations of function f(x) = 5x + 8.at n=7A023316
- Primes that remain prime through 5 iterations of function f(x) = 5x + 8.at n=2A023344
- Sizes of successive balls in D_4 lattice.at n=40A046949
- Primes p such that q-p = 22, where q is the next prime after p.at n=29A061779
- Least m such that card(invphi(phi(m)))=n.at n=39A066420
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=12A068831
- Primes with all odd digits such that the next four primes also contain all odd digits.at n=4A068832
- Prime(n) and prime(n+3) use the same digits.at n=19A069795
- a(n) = Sum_{k=1..2^n} d(k) where d(n) = number of divisors of n (A000005).at n=11A085831
- a(n) is the (n+1)-digit number in which the first digit is 1 and the subsequent digits increase by steps of n (mod 10).at n=3A085938
- Primes of the form x^4 + y^4 with x^2 + y^2 and x+y also prime.at n=9A100268
- Sum of the primes in ordered 3 X 3 prime squares.at n=30A105089
- Primes of the form 128n+65.at n=32A105129
- Primes with at least one of each odd digit and no even digits.at n=3A108418
- Number of squares in an n X n grid of squares with diagonals.at n=24A111500
- Numbers k such that sigma(k) plus the k-th prime is a triangular number.at n=38A115907
- Primes p such that their cubes are pandigital.at n=6A124629
- a(n) = Fibonacci(n) mod n^3.at n=25A132636