16101
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
- 23270
- Proper Divisor Sum (Aliquot Sum)
- 7169
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10728
- Möbius Function
- 0
- Radical
- 5367
- 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
- 71
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=23A031834
- Number of forests of different trees.at n=15A035055
- Sum of n-th antidiagonal of array in A082002.at n=24A082005
- Negative numbers written in a bits-of-Pi/primorial base system.at n=24A109839
- a(n) is the number of unlabeled graphs on n nodes whose components are unicyclic graphs.at n=13A137917
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=9.at n=38A143452
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10.at n=24A154496
- Number of nX7 0..1 arrays with every element unequal to 0, 1 or 3 king-move adjacent elements, with upper left element zero.at n=17A303681
- Numbers k such that A330575(k) = A330575(k+1).at n=1A333954
- Number of integer partitions of n whose maximal anti-runs have distinct maxima.at n=48A375133
- a(n) is the number of distinct solution sets to the quadratic equations u*x^2 + v*x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a negative discriminant.at n=43A381710
- Antidiagonal sums of the array defined in A385623.at n=26A385624