16013
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
- 4
- Divisor Sum
- 16320
- Proper Divisor Sum (Aliquot Sum)
- 307
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15708
- Möbius Function
- 1
- Radical
- 16013
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 161*2^k+1 is prime.at n=20A032457
- McKay-Thompson series of class 30D for Monster.at n=36A058615
- Expansion of (1-x)^(-1)/(1+2*x+2*x^3).at n=12A077927
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=8A150103
- McKay-Thompson series of class 30D for the Monster group with a(0) = 2.at n=36A205962
- a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4).at n=27A282036
- Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p.at n=13A282043
- Sum of the fourth largest parts of the partitions of n into 10 squarefree parts.at n=53A326634
- Numerators of the partial sums of the reciprocals of the Dedekind psi function (A001615).at n=32A357818
- Numerators of the partial sums of the reciprocals of the number of abelian groups function (A000688).at n=48A379359