12577
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12578
- 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
- 12576
- Möbius Function
- -1
- Radical
- 12577
- 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
- 37
- 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
- 1502
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ways to pair up {1..2n} so sum of each pair is prime.at n=9A000341
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=26A020374
- Fibonacci sequence beginning 1, 20.at n=15A022110
- Numbers k such that 83*2^k+1 is prime.at n=11A032391
- Primes p from A031924 such that A052180(p) = 23.at n=14A052238
- Prime number spiral (clockwise, West spoke).at n=19A054570
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=26A059287
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=26A060261
- Primes with 10 as smallest positive primitive root.at n=37A061323
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=31A070184
- Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)^3.at n=22A100572
- a(n) = 104*n + 9977.at n=25A126978
- Records in A134204.at n=28A133244
- Primes congruent to 34 mod 37.at n=38A142143
- Primes congruent to 31 mod 41.at n=40A142228
- Primes congruent to 21 mod 43.at n=37A142270
- Primes congruent to 28 mod 47.at n=31A142379
- Primes congruent to 33 mod 49.at n=38A142442
- Primes congruent to 16 mod 53.at n=31A142546
- Primes congruent to 37 mod 55.at n=36A142627