13037
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13038
- 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
- 13036
- Möbius Function
- -1
- Radical
- 13037
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- 1553
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=24A020378
- "BGJ" (reversible, element, labeled) transform of 2,1,1,1...at n=8A032053
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 15.at n=15A050964
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=21A052233
- Primes p such that p-3 and p+3 are divisible by a cube.at n=12A089201
- Irregular primes whose indices are irregular primes of order one.at n=38A090869
- Primes such that the sum of the predecessor and successor primes is divisible by 41.at n=34A113157
- Cyclops primes.at n=33A134809
- a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + Sum_{j=1..2^m} a(j).at n=43A139485
- Primes of the form 210k + 17.at n=30A140842
- Primes congruent to 40 mod 41.at n=35A142237
- Primes congruent to 8 mod 43.at n=38A142257
- Primes congruent to 18 mod 47.at n=33A142369
- Primes congruent to 3 mod 49.at n=40A142416
- Primes congruent to 52 mod 53.at n=29A142582
- Primes congruent to 2 mod 55.at n=40A142602
- Primes congruent to 57 mod 59.at n=28A142784
- Primes congruent to 44 mod 61.at n=25A142842
- Primes congruent to 59 mod 63.at n=41A142922
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338.at n=26A146360