16231
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16232
- 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
- 16230
- Möbius Function
- -1
- Radical
- 16231
- 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
- 190
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1887
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Related to representation as sums of squares.at n=24A002292
- Revert transform of 2*x*(1 - x + x^2 - x^3 + x^4 - x^5)-x/(1+x).at n=14A049181
- A class of Boolean functions of n variables and rank 4.at n=6A051360
- Primes of the form 30*p + 1 where p is also prime.at n=39A051646
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=26A052358
- Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=8A064779
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=38A090918
- Number of distinct factorizations of 105*2^n.at n=15A093802
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=18A094455
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=23A137474
- Primes congruent to 16 mod 47.at n=40A142367
- Primes congruent to 13 mod 53.at n=37A142543
- Primes congruent to 6 mod 59.at n=32A142733
- Primes congruent to 5 mod 61.at n=28A142803
- Row sums of triangle A143102.at n=35A143103
- 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, 0, -1), (0, -1, 0), (0, 0, 1), (1, 1, -1)}.at n=10A148326
- a(n) = smallest m > 0 such that there are no primes between p*m and p*(m+1) inclusive where p is the n-th prime.at n=26A174741
- Primes of the form 6n^2 + 7.at n=23A201601
- Primes p that become composite when any nonzero decimal digit is appended or deleted on the right or left of p.at n=32A226144
- Primes of the form 2*n^2+66*n+31.at n=11A243957