12002
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19116
- Proper Divisor Sum (Aliquot Sum)
- 7114
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- -1
- Radical
- 12002
- Omega Function (Ω)
- 3
- 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
- 50
- 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
- Primes in ternary.at n=32A001363
- Denominators of continued fraction convergents to cube root of 7.at n=8A005485
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=20A005903
- Numerators of continued fraction convergents to sqrt(355).at n=7A041672
- In the list of divisors of n (in base 3), each digit 0-2 appears equally often.at n=3A045811
- Successive positions in Tower of Hanoi (with three pegs {0,1,2}) where xyz means smallest disk is on peg z, second smallest is on peg y, third smallest on peg x, etc. and leading zeros indicate largest disks are all on peg 0.at n=22A055662
- Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order.at n=26A058944
- Coefficients of monic primitive irreducible polynomials over GF(3) listed in lexicographic order.at n=12A058949
- Coefficients of irreducible polynomials over GF(3) listed in lexicographic order.at n=29A065020
- Numbers in base -3.at n=29A073785
- Triangle, read by rows, where the n-th diagonal equals the n-th row transformed by triangle A008459 (squared binomial coefficients).at n=71A097084
- Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc.at n=33A116731
- Table T(n,k) = sum over all set partitions of n of number at index k.at n=34A120057
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=10A148292
- Cantor's ordering of positive rational numbers, where a(n) is the balanced ternary representation of the "factorization" of the positive rational number into terms of A186285.at n=34A185169
- Numbers 3*n + 2 written in base 3.at n=45A190642
- Number of -6..6 arrays x(0..n+1) of n+2 elements with zero sum and nonzero first and second differences.at n=2A200452
- T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero first and second differences.at n=30A200454
- Number of -n..n arrays x(0..4) of 5 elements with zero sum and nonzero first and second differences.at n=5A200457
- a(n) = 13*n^2 - 16*n + 5.at n=31A202141