12863
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13560
- Proper Divisor Sum (Aliquot Sum)
- 697
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12168
- Möbius Function
- 1
- Radical
- 12863
- 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
- 125
- 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 n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a one by five or five by one block.at n=17A145968
- Exponents m with decreasing fractional part of (4/3)^m.at n=8A154130
- Numbers n such that the fractional part of (4/3)^n is less than 1/n.at n=5A154131
- Numbers k such that the digit sum of 167^k is divisible by k.at n=26A175552
- Number of (w,x,y) with all terms in {0,...,n} and w != max(|w-x|,|x-y|,|y-w|).at n=23A213498
- Number of partitions p of n containing floor((min(p) + max(p))/2) as a part.at n=39A238482
- Number of compositions of n into exactly two different parts with distinct multiplicities.at n=16A242900
- a(n) = Least integer k such that A249431(k) = n, and -1 if no such integer exists.at n=25A249430
- Numerator of the n-th partial sum of the reciprocals of the successive prime gaps.at n=49A274827
- Partial sums of A301692.at n=87A301693
- Number of distinct residues of x^n (mod n^4), x=0..n^4-1.at n=38A365101
- Order 3 perimeter magic squares of magic sum n, all elements distinct and 1 in the set; bracelet symmetry.at n=34A382455
- Triangle read by rows: T(n,k) is the number of face-connected components of polyhedra with k prisms and n-k truncated cuboctahedra in the omnitruncated cubic honeycomb up to rotation and reflection, 0 <= k <= n.at n=24A384755
- Numbers k such that k - sopfr(k) is a positive cube.at n=18A389889