12356
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 21630
- Proper Divisor Sum (Aliquot Sum)
- 9274
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6176
- Möbius Function
- 0
- Radical
- 6178
- Omega Function (Ω)
- 3
- 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
- 37
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=15A020437
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=24A024181
- ATS: Add Then Sort (i.e., double previous term and then sort digits).at n=21A057615
- Triangle read by rows in which the n-th row contains the n numbers in increasing order formed by the concatenation of first n-1 numbers. (The digits of the numbers with 2 or more digits are taken as one entity.) First row is taken to be 0.at n=17A081539
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A082345/A082346.at n=12A089406
- Number of configurations of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square at one of the 4 central squares.at n=12A090164
- Period (multiplicative order base 10) of the terms in A116074 and A116075.at n=4A116076
- Number of base 12 circular n-digit numbers with adjacent digits differing by 7 or less.at n=4A125424
- a(n) is the concatenation in increasing order of all single-digit divisors of n.at n=29A129476
- Has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and every number appears exactly one of the sequence or its first differences.at n=40A139310
- 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, 1), (-1, 0, 1), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=10A148293
- Concatenation of the first n squarefree numbers A005117.at n=4A159901
- Number of trisubstituted linear alkanes of composition C_n H_(2n-1) XYZ.at n=14A159941
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=14A192087
- Subsets of positive integers arranged in canonical order.at n=33A213059
- Expansion of 1/(1 - x^3 - x^4 - x^5 - x^6 + x^9).at n=35A225484
- Number of partitions of n where the difference between consecutive parts is at most 4.at n=38A238864
- Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A241279
- T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=33A241283
- Number of 6Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=2A241288