16715
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 20064
- Proper Divisor Sum (Aliquot Sum)
- 3349
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13368
- Möbius Function
- 1
- Radical
- 16715
- 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
- 128
- 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
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=33A013978
- Sum of the prime(n) primes following prime(n).at n=18A099274
- Number of partitions of n into parts with no prime gaps in their factorization.at n=36A137792
- Number of binary strings of length n with no substrings equal to 0001 0110 or 1011.at n=16A164479
- Number of nX6 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=3A221753
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=39A221755
- Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=5A221758
- E.g.f. A(x) satisfies: A'(x) = -1 + A(x) + A(x)^2.at n=7A230008
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime.at n=32A254541
- Expansion of 1/(1 - x - x^2 + x^5 - x^6).at n=22A257863
- Partial sums of A080715.at n=33A268403
- 10*n analog to Keith numbers.at n=21A282765
- Number of totally aperiodic integer partitions of n.at n=35A319811
- Numbers k such that 395*2^k+1 is prime.at n=10A323042