12077
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13020
- Proper Divisor Sum (Aliquot Sum)
- 943
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11136
- Möbius Function
- 1
- Radical
- 12077
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of 4-line partitions of n decreasing across rows.at n=23A003292
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=32A020372
- Fibonacci sequence beginning 2, 11.at n=16A022115
- Convolution of natural numbers with composite numbers.at n=33A023539
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=35A031420
- Numerators of continued fraction convergents to sqrt(419).at n=7A041796
- a(n) = Sum_{ d divides n } q(d), where q(d) = A000009 = number of partitions of d into distinct parts.at n=60A047966
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=21A051974
- Number of positions that the 3 X 3 X 3 Rubik cube puzzle can be in after exactly n moves, up to equivalence under the full group of order 48 of the cube and with a half-turn is considered to be 1 move.at n=5A080638
- a(n) = index of the first occurrence of n in A088606.at n=30A088757
- Expansion of g.f. x*(x-1)*(x+1)^3/((2*x^3+x^2-1)*(x^4+1)).at n=25A107853
- Number of partitions p of n such that min(p) and max(p) have a common factor.at n=48A114326
- Ceiling(4*Pi*n^2).at n=30A135971
- Numbers that are the product of two distinct primes and they are partial sum of products of two distinct primes.at n=27A168476
- Number of 0..22 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=2A171328
- Number of 0..n-1 integer arrays v[1..3] of length 3 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..2.at n=22A171354
- Number of 2 X 2 nonsingular 0..n matrices with rows and columns in increasing order.at n=12A183762
- Number of 0..n arrays of length 3 with 0 never adjacent to n.at n=21A212836
- Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=1A250974
- Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=1A250976