12553
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
- 12554
- 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
- 12552
- Möbius Function
- -1
- Radical
- 12553
- 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
- 63
- 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
- 1500
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partially achiral trees with n nodes.at n=18A003243
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=17A004229
- a(n) = 10000*log_10(n) rounded up.at n=17A004230
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=33A023274
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 74.at n=1A031662
- a(n) = prime(100*n).at n=14A031921
- Numbers k such that x^k + x^9 + 1 is irreducible over GF(2).at n=43A057479
- Class 6+ primes.at n=15A081634
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=32A090717
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).at n=45A127764
- Primes of the form k^2 + 9.at n=16A138353
- Primes of the form 57x^2+18xy+193y^2.at n=24A140631
- Primes congruent to 7 mod 41.at n=37A142204
- Primes congruent to 40 mod 43.at n=31A142289
- Primes congruent to 4 mod 47.at n=27A142356
- Primes congruent to 9 mod 49.at n=37A142421
- Primes congruent to 45 mod 53.at n=27A142575
- Primes congruent to 13 mod 55.at n=34A142610
- Primes congruent to 45 mod 59.at n=25A142772
- Primes congruent to 48 mod 61.at n=24A142846