13751
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13752
- 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
- 13750
- Möbius Function
- -1
- Radical
- 13751
- 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
- 89
- 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
- 1626
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=29A000604
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=14A052234
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=8A070182
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern=[6,2,4]; short d-string notation of pattern = [624].at n=6A078853
- Add/multiply sequence, see example.at n=43A093361
- a(n) = Sum_{k|n} a(k) a(n-k) for n >= 2, a(0)=0, a(1)=1.at n=20A097438
- Upper prime of a difference of 22 between consecutive primes.at n=24A098976
- Primes of the form 22*(n^2)+1.at n=12A117049
- Primes with prime "Look And Say" descriptions from right to left (irrespective of method A or method B).at n=33A127179
- Primes congruent to 16 mod 41.at n=36A142213
- Primes congruent to 34 mod 43.at n=41A142283
- Primes congruent to 27 mod 47.at n=34A142378
- Primes congruent to 24 mod 53.at n=26A142554
- Primes congruent to 1 mod 55.at n=36A142601
- Primes congruent to 4 mod 59.at n=28A142731
- Primes congruent to 26 mod 61.at n=25A142824
- 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, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150825
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/10.at n=19A152310
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,1 4,1 5,1 6,0 6,1 7,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155388
- Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes.at n=16A156116