10812
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27216
- Proper Divisor Sum (Aliquot Sum)
- 16404
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3328
- Möbius Function
- 0
- Radical
- 5406
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- Stirling numbers of the first kind: s(n+2, n).at n=16A000914
- Stirling numbers of first kind S1(18,n).at n=15A011528
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=22A033829
- Product of prime(n+1)-1 and prime(n)-1.at n=26A083553
- (prime(n-1) + 1)*(prime(n+1) - 1).at n=25A087105
- Sequence resulting from a sum of three repeated binomial(n+3,4) sequences.at n=31A093039
- Row sums of square of trinomial triangle A071675.at n=10A103780
- a(n) = p(n+1)^2 + 2*p(n) + 1; p(n) is the n-th prime number and n >= 1.at n=25A155819
- a(n) = 16*n^2 - 4.at n=25A158443
- Numbers k such that k^3 +-5 are primes.at n=42A176684
- Number of n X n binary arrays without the pattern 0 0 1 antidiagonally or horizontally.at n=3A188985
- Number of n X 4 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.at n=3A188987
- T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally.at n=24A188992
- Number of 4 X n binary arrays without the pattern 0 0 1 antidiagonally or horizontally.at n=3A188994
- Ordered Stirling numbers S1(n,k) >= 0.at n=22A193245
- Triangle numbers: m = a*b*c such that the integers a,b,c are the sides of a triangle with integer area.at n=32A218243
- Primitive triangle numbers as defined in A218243.at n=22A218392
- a(k) such that A225258 column k of T(n,k) = n*k^3 - a(k) for large n.at n=28A225263
- Number of (n+1)X(2+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A238040
- Number of (n+1)X(3+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A238041