10244
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19404
- Proper Divisor Sum (Aliquot Sum)
- 9160
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4704
- Möbius Function
- 0
- Radical
- 5122
- Omega Function (Ω)
- 4
- 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
- 148
- 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
- Numbers that are the sum of 9 positive 11th powers.at n=5A004820
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=33A032767
- Triangle, read by rows, where the g.f. of column k, C_k(x), is equal to the product: C_k(x) = Product_{k=0..n} 1/(1 - binomial(n,k)*x).at n=41A124834
- Number of binary strings of length n with no substrings equal to 0001, 0110, or 1110.at n=26A164482
- Least number k such that n divides gcd(sigma(k), phi(k)) (A009223).at n=48A222713
- Number of length n+2 0..3 arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=29A248428
- Number of nonzero terms in A117943 up to index 2^n: a(n) = Sum_{k=1..2^n} A117943(k).at n=15A255822
- Indices of the start of 9 successive distinct digits in the decimal expansion of Pi.at n=35A258158
- Numbers n such that Bernoulli number B_{n} has denominator 1590.at n=15A272140
- Sum of the third largest parts in the partitions of n into 6 parts.at n=39A308871
- Number of collinear triples in a 4 X n rectangular grid.at n=24A334706
- Number of musical scales in n tone equal temperament respecting the property that alternate notes are 3 or 4 semitones apart.at n=28A361378
- Number of integer partitions with sum < n whose distinct parts cannot be linearly combined using all positive coefficients to obtain n.at n=44A365323