12437
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12438
- 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
- 12436
- Möbius Function
- -1
- Radical
- 12437
- 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
- 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
- 1485
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=28A000604
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=34A020382
- Primes of the form k^2 + k + 5.at n=31A027755
- Positions of the incrementally largest terms in the continued fraction for Laplace's limit constant.at n=9A033263
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=23A050960
- Surround numbers of a length 2n zig-zag.at n=31A060641
- Prime(n) and prime(n+3) use the same digits.at n=13A069795
- Smallest of five consecutive primes whose sum of digits is prime.at n=32A106718
- Number of functional patterns on n elements; or digraphs with maximum outdegree 1, n arrows and every point connected to an arrow.at n=9A116950
- Primes p for which 8*p+1 divides 2^p-1.at n=41A122095
- Primes of the form 2m*691 - 1.at n=3A134671
- Primes of the form 210k + 47.at n=31A140850
- Primes congruent to 5 mod 37.at n=40A142114
- Primes congruent to 14 mod 41.at n=39A142211
- Primes congruent to 10 mod 43.at n=31A142259
- Primes congruent to 29 mod 47.at n=35A142380
- Primes congruent to 40 mod 49.at n=36A142448
- Primes congruent to 35 mod 53.at n=28A142565
- Primes congruent to 7 mod 55.at n=39A142606
- Primes congruent to 47 mod 59.at n=25A142774