12425
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 5431
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8400
- Möbius Function
- 0
- Radical
- 2485
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=20A001936
- Number of squares on infinite chessboard at <= n knight's moves from a fixed square.at n=30A018836
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=12A023075
- Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=28A023538
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 4 (mod 5).at n=49A035568
- Number of partitions of n into a prime number of parts.at n=40A038499
- Numerators of continued fraction convergents to sqrt(155).at n=5A041284
- Numerators of continued fraction convergents to sqrt(620).at n=5A042190
- (x,y) = (a(n),a(n+1)) are the solutions of (t(x)+t(y))/(1+xy) = t(2) = 3, where t(n) denotes the n-th triangular number t(n) = n(n+1)/2.at n=5A065928
- Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers).at n=18A070193
- Expansion of q^(-1/4) * (eta(q) * eta(q^4)^2 / eta(q^2)^3)^2 in powers of q.at n=20A079006
- Sums of p-th to the q-th prime where p and q are twin primes.at n=25A114379
- Triangle read by rows: row n is the expansion of p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 3)*Sum[(2^(m - 1) +n*m - n + 1)*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}].at n=46A146967
- Triangle read by rows: row n is the expansion of p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 3)*Sum[(2^(m - 1) +n*m - n + 1)*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}].at n=53A146967
- Q_2n(sqrt(2)) (see A104035).at n=3A156134
- The second left hand column of triangle A167552.at n=34A167554
- a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/sin(n) > a(k)/sin(a(k)), so that a(1)/sin(a(1)) > a(2)/sin(a(2)) > ... > a(k)/sin(a(k)) > ...at n=31A172445
- Partial sums of A001394.at n=8A176086
- Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right.at n=41A177787
- Odd indices n for which A046825(n) is not larger than A046825(n-1).at n=40A214453