10570
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21888
- Proper Divisor Sum (Aliquot Sum)
- 11318
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 1
- Radical
- 10570
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=8A006037
- [ n(n-1)(n-2)(n-3)/11 ].at n=20A011921
- a(n) = n*(27*n - 1)/2.at n=28A022284
- Expansion of 1/((1-5x)(1-8x)(1-9x)(1-10x)).at n=3A028190
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=28A031947
- Numbers whose base-2 representation has exactly 12 runs.at n=26A043579
- Numbers whose base-3 representation contains no 0's and exactly one 2.at n=42A044990
- Numbers with exactly 4 distinct palindromic prime factors.at n=21A046402
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=28A049357
- a(n) is twice the smallest k such that A051686(k) = prime(n).at n=33A051692
- Twice the positions in A051686 at which new primes appear in that sequence.at n=35A051861
- Layer counting sequence for hyperbolic tessellation by regular pentagons of angle 2*Pi/5.at n=7A054889
- Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=5A064114
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=51A068923
- Irregular array, read by rows: T(n,k) is the number of labeled acyclic digraphs with n nodes and k arcs (n >= 0, 0 <= k <= n*(n-1)/2).at n=45A081064
- Triangle read by rows: matrix inverse of A110877.at n=61A126126
- Binomial transform of [1, 7, 17, 17, 6, 0, 0, 0, ...].at n=13A132117
- Number of consistent sets of 3 irreflexive binary order relationships over n objects.at n=4A147796
- a(n) = 961*n - 1.at n=10A158412
- Number of peaks at even level in all Dyck paths of semilength n with no UUU's and no DDD's, (U=(1,1), D=(1,-1)). These Dyck paths are counted by the secondary structure numbers (A004148).at n=10A166294