10161
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14690
- Proper Divisor Sum (Aliquot Sum)
- 4529
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6768
- Möbius Function
- 0
- Radical
- 3387
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- no
- Odd
- yes
Appears in sequences
- Denominators of continued fraction convergents to sqrt(658).at n=11A042265
- Interprimes which are of the form s*prime, s=9.at n=31A075284
- Row sums of A163357 and A163359 divided by 4.at n=36A163477
- Number of binary strings of length n with equal numbers of 00010 and 01010 substrings.at n=14A164216
- Composite numbers and 1 which yield a prime whenever a 1 is inserted anywhere in them, including at the beginning or end.at n=45A216165
- a(n) = Sum_{i=0..n} digsum_6(i)^3, where digsum_6(i) = A053827(i).at n=53A231674
- Numbers n such that (n-1)^3 + (n+1)^3 is a taxi-cab number (A001235).at n=29A272910
- a(n) = (1/2)*A290904(n).at n=9A290905
- Number of square plane partitions of n with distinct row sums and distinct column sums.at n=33A306320
- a(n) = A054108(n) + 4*(-1)^n.at n=6A349554
- Expansion of e.g.f. exp(1 - x - exp(2*x)).at n=8A367743
- Expansion of e.g.f. (1/3) * (exp(1/(1 - x)^3 - 1) + 2).at n=5A390374
- Expansion of 1 / sqrt((1-x)^6 - 4*x^3).at n=9A392643