10511
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10992
- Proper Divisor Sum (Aliquot Sum)
- 481
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10032
- Möbius Function
- 1
- Radical
- 10511
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- Expansion of Product_{m>=1} (1-m*q^m).at n=33A022661
- The Roman numerals, with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc.at n=16A093788
- Roman numerals with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc., sorted in increasing order.at n=45A130228
- Toothpick sequence in the three-dimensional grid.at n=46A160160
- Number of binary strings of length n with no substrings equal to 0001, 0100, or 0111.at n=17A164464
- Multiples of 23 whose digit reversal - 1 is also a multiple of 23.at n=17A166400
- Magic constants of 5 X 5 magic squares which consist of consecutive primes.at n=38A176571
- Number of zero-sum -2..2 arrays of n elements with first through third differences also in -2..2.at n=12A202505
- Difference between the number of odd parts and the number of even parts in all the partitions of n.at n=27A209423
- Number of n X 2 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=6A223927
- Number of n X 7 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=1A223932
- T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=29A223933
- T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=34A223933
- Number of nX7 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.at n=1A224056
- T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.at n=29A224057
- T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.at n=34A224057
- Number of nX7 0..2 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=1A224309
- T(n,k)=Number of nXk 0..2 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=29A224310
- Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing.at n=1A224373
- T(n,k)=Number of nXk 0..2 arrays with rows unimodal and antidiagonals nondecreasing.at n=29A224374