12237
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16320
- Proper Divisor Sum (Aliquot Sum)
- 4083
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8156
- Möbius Function
- 1
- Radical
- 12237
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- a(n) = n^3 + 3*n + 1.at n=23A005491
- Concatenations C1 and C2 and C3 and C4 are all prime (see the comment lines).at n=7A034819
- Numerators of continued fraction convergents to sqrt(777).at n=4A042498
- a(n+1) - 3*a(n) + a(n-1) = (2/3)*(1+w^(n+1)+w^(2*n+2)); a(1) = 0, a(2) = 1; where w is the cubic root of unity.at n=10A072130
- Expansion of (1-x)^(-1)/(1+2*x^2+2*x^3).at n=23A077895
- a(n) = sum along n-th diagonal of A094102 (sloping downward to left).at n=36A094103
- a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 1, a(1) = 10, a(2) = 37.at n=6A110528
- a(n) = (n^3 + 3*n - 2)/2.at n=28A132127
- Number of binary strings of length n with no substrings equal to 0000 0001 or 0111.at n=14A164412
- Number of partitions of n with distinct occurrences of parts.at n=49A166239
- Positions of the records of the negative integers in A179319; a(n) is the first position in A179319 equal to -n.at n=6A183556
- Positions of records in A179319 for both positive and negative integers; A183555 and A183556 merged together.at n=13A183557
- Ceiling((n+1/n)^3).at n=22A197773
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210752; see the Formula section.at n=50A210751
- Number of (n+3) X 6 0..1 matrices with each 4 X 4 subblock idempotent.at n=14A224563
- Conjecturally, the largest k such that prime(n)^2 is the largest squared prime divisor of binomial(2k,k).at n=22A239623
- The edge independence number of the Lucas cube Lambda(n).at n=21A245968
- Numbers k such that k^2 + 1 = p*q*r*s where p,q,r,s are distinct primes and the sum p+q+r+s is a perfect square.at n=42A261530
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 529", based on the 5-celled von Neumann neighborhood.at n=23A272748
- G.f. A(x) satisfies: x = Sum_{n>=1} (-1)^(n-1) * x^(2*n-1)*A(x) / (1 + x^(2*n-1)*A(x)).at n=15A303059