12586
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
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 10454
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 1
- Radical
- 12586
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=22A010016
- Numbers k such that k^2 and k^3 have the same set of digits.at n=17A029797
- Convolution of Catalan numbers A000108(n+1), n >= 0, with A038846.at n=4A042940
- 5-digit terms in the continued fraction for Pi.at n=13A048960
- Numbers k such that k^2 contains exactly 9 different digits.at n=9A054037
- Number of singular points on n-th order Chmutov surface.at n=31A057870
- Numbers k such that phi((prime(k)-1)/2) = sigma(k).at n=35A068474
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=28A074120
- a(n) = n*(n - 1)*(n + 2)/2.at n=28A077414
- Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes.at n=24A090833
- Numbers k such that 6*k+5, 6*k+11, 6*k+17, 6*k+23 are consecutive primes.at n=12A090836
- Indices k such that 9 plus the k-th triangular number is a perfect square.at n=9A154142
- Sums of two successive primes s such that s+-3 are primes.at n=23A179485
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=40A181883
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,0,1,1,1,1 for x=0,1,2,3,4,5,6.at n=5A203381
- Numbers n such that n contains exactly 5 digits, all distinct, and n^2 contains exactly 9 distinct digits.at n=2A204691
- G.f. satisfies: A(x) = (1 + x*A(x)^3)^2.at n=5A212071
- Numbers n such that n = x + y, sigma_1(n) = sigma_1(x) + sigma_1(y) and sigma_2(n) = sigma_2(x) + sigma_2(y).at n=8A219033
- 29-gonal numbers: a(n) = n*(27*n-25)/2.at n=31A255187
- Bernoulli number B_{n} has denominator 354.at n=29A255684