12487
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12488
- 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
- 12486
- Möbius Function
- -1
- Radical
- 12487
- 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
- 86
- 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
- 1490
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of graphs with n nodes, n+1 edges and no isolated vertices.at n=7A006650
- Numerators of continued fraction convergents to sqrt(694).at n=7A042334
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=10A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=7A049520
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=24A052351
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=17A078852
- Starting positions of strings of three 2's in the decimal expansion of Pi.at n=16A083606
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=24A085957
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=31A090717
- Lengths of successive words (starting with a) under the substitution: {a -> aab, b -> aac, c -> b}.at n=9A101197
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=30A120364
- Dimension of the invariant subspace in modules over the symmetric groups S_n of dimension n*(n+1)^(n-1).at n=12A123256
- Primes of the form 2*3*5*7*k + 97.at n=30A141899
- Primes congruent to 23 mod 41.at n=41A142220
- Primes congruent to 17 mod 43.at n=38A142266
- Primes congruent to 32 mod 47.at n=33A142383
- Primes congruent to 41 mod 49.at n=34A142449
- Primes congruent to 32 mod 53.at n=24A142562
- Primes congruent to 2 mod 55.at n=39A142602
- Primes congruent to 4 mod 57.at n=39A142667