15271
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15272
- 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
- 15270
- Möbius Function
- -1
- Radical
- 15271
- 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
- 84
- 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
- 1783
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Fibonacci sequence beginning 4, 13.at n=16A022132
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026681.at n=13A026689
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=32A031902
- Primes at which cusp form Delta_16 is not ordinary.at n=7A037949
- Primes of the form 30*p + 1 where p is also prime.at n=38A051646
- Numbers k such that 1 + product of first k composite numbers is prime.at n=22A053982
- Smallest number which requires n iterations to reach 1 in the juggler sequence problem.at n=46A094670
- Primes p such that little googol + p is prime.at n=33A108255
- Number of base 7 circular n-digit numbers with adjacent digits differing by 1 or less.at n=9A124700
- Primes congruent to 7 mod 53.at n=34A142537
- Primes congruent to 49 mod 59.at n=26A142776
- Primes congruent to 21 mod 61.at n=29A142819
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (0, 1), (1, -1), (1, 0), (1, 1)}.at n=9A151457
- Primes p such that (p-1)*p*(p+1)-p+2 and (p-1)*p*(p+1)+p-2 are primes.at n=24A154944
- Lesser prime factor of successively better golden semiprimes.at n=13A165571
- Prime numbers ending in the prime number 71.at n=38A167441
- (1, 4, 7, 10, 13, ...) convolved with (1, 0, 4, 7, 10, 13, ...); given A016777 = (1, 4, 7, 10, 13, ...).at n=22A179905
- a(n) = (n^3 - 3n^2 + 14n - 6)/6.at n=45A180415
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3<x^3+y^3.at n=29A211801
- Primes of the form 2*n^2 + 58*n + 27.at n=17A217498