10922
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16896
- Proper Divisor Sum (Aliquot Sum)
- 5974
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5292
- Möbius Function
- -1
- Radical
- 10922
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 16
- 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
- a(2n) = 2*a(2n-1), a(2n+1) = 2*a(2n)+1 (also a(n) is the n-th number without consecutive equal binary digits).at n=14A000975
- a(n) = (8^n + 2*(-1)^n)/3.at n=5A007613
- Barlow packings with group R3(bar)m(SO) that repeat after 6n+3 layers.at n=14A011954
- a(n) = a(n-1) + 2*a(n-2) with a(0)=0, a(1)=2.at n=14A014113
- a(n) = floor(Gamma(n+7/12)/Gamma(7/12)).at n=8A020047
- a(n) = (2/3)*(4^n-1).at n=7A020988
- a(n) = C(n,0) + C(n,3) + ... + C(n,3[n/3]).at n=15A024493
- a(n) = a(n-1) + 2*a(n-2) + 2, for n>=3, where a(0)= 1, a(1)= 2, a(2)= 4.at n=13A026644
- Numbers in which all pairs of consecutive base-8 digits differ by 3.at n=49A033079
- Numbers whose base-2 representation has exactly 14 runs.at n=0A043581
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=19A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 8.at n=19A043851
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 9.at n=19A043859
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 10.at n=19A043868
- Numerators of Taylor series for log(1/cos(x)). Also from log(cos(x)).at n=7A046990
- Numbers that are repdigits in base 4.at n=20A048329
- a(n) is twice the smallest k such that A051686(k) = prime(n).at n=29A051692
- Twice the positions in A051686 at which new primes appear in that sequence.at n=36A051861
- McKay-Thompson series of class 27A for the Monster group.at n=30A058599
- Numerator of the expected time to finish a random Tower of Hanoi problem with n disks using optimal moves.at n=14A060590