12284
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22344
- Proper Divisor Sum (Aliquot Sum)
- 10060
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5904
- Möbius Function
- 0
- Radical
- 6142
- 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
- 156
- 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
- yes
- Odd
- no
Appears in sequences
- Related to Euler numbers, expansion of e.g.f. sec(x)*tan^2(x).at n=5A002735
- Numerators of continued fraction convergents to sqrt(977).at n=6A042890
- Triangle of numbers related to A000330 (sum of squares) and A000364 (Euler numbers).at n=18A060058
- Fourth column of triangle A060058.at n=2A060061
- Triangle A060058 by diagonals.at n=17A060074
- Third column of triangle A060074.at n=3A060075
- n*10^2-1, n*10^2-3, n*10^2-7 and n*10^2-9 are all prime.at n=21A064976
- Values of k such that f(k) is a prime, where f(1) = 1, f(i) = prime(i)*f(i-1) + 2.at n=7A086125
- Positive square-root of terms of the self-convolution of A087150.at n=32A087151
- Start with 1, then alternately double or add 2.at n=23A099942
- Even elements of A085493.at n=26A106431
- Binomial transform of [1, 1, 5, 1, 5, 1, 5, ...].at n=12A131128
- Numbers n such that 7^n + 12 is prime.at n=10A152213
- a(n) = 9n^2 - n.at n=36A154516
- a(n) = 1369*n^2 - 37.at n=2A158743
- Numbers n such that n^3 can be represented as sum of (at least two) consecutive squares.at n=5A163390
- Number of twiddle factors in the first stage of a Pease Radix 4 Fast Fourier Transform.at n=5A181358
- Number of base-3 pyramids of height n.at n=21A186507
- Number of 3-step self-avoiding walks on an n X n square summed over all starting positions.at n=32A188148
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=13A192087