15329
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15330
- 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
- 15328
- Möbius Function
- -1
- Radical
- 15329
- 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
- 1791
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 11*2^k + 1 is prime.at n=15A002261
- Bosonic string states.at n=37A005308
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=22A020400
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=39A023285
- Expansion of q^(5/24) / (eta(q) * eta(q^2)^2) in powers of q.at n=21A029862
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=39A050267
- Integers that can be expressed as the sum of consecutive primes in exactly 5 ways.at n=4A055000
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=16A060230
- Numbers k such that k! + Fibonacci(k) is prime.at n=8A064738
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=32A067374
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=28A067379
- Primes expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=4A067380
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=24A075585
- Number of symmetric short bushes with n edges.at n=24A082958
- Smallest prime of the form 1 followed by a perfect power.at n=16A089773
- Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=34A105440
- Primes of the form A108656(n-2)*n^2+A108656(n-1)*n+A108656(n).at n=38A108657
- Primes with prime "Look And Say" descriptions from right to left (irrespective of method A or method B).at n=39A127179
- Primes of the form 47*n^2 - 1701*n + 10181.at n=18A128878
- Primes congruent to 36 mod 41.at n=40A142233