16107
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 10773
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8352
- Möbius Function
- 1
- Radical
- 16107
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of n-bead necklaces with 3 colors.at n=11A001867
- Numbers whose set of base-11 digits is {1,3}.at n=31A032918
- G.f.: 1/((1-x)*(1-x^2))^3.at n=23A038163
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=28A045152
- Expansion of (3+x)/(1-x)^6.at n=11A059599
- Expansion of x*(1-x)/(1-x+2*x^3-x^4).at n=43A104554
- Smallest number m such that A114228(m) = n.at n=44A114229
- <h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=35A115375
- Number of binary strings of length n such that there exist three consecutive digits where at least two of them are 1's.at n=14A118645
- Least k with precisely n partitions k = x + y satisfying x > 0 and k' = x' + y', where k', x', y' are the arithmetic derivatives of k, x, y.at n=9A212664
- Numbers k such that 6^k + 7 is prime.at n=21A217351
- Products p*q*r*s of distinct primes for which (p*q*r*s - 1)/2 is prime.at n=31A234498
- Squarefree part of numerator of the squared area of the Heronian triangle with sequential prime sides whose shortest leg is prime(n).at n=6A334177
- a(n) = -(1/n) * Sum_{d|n} phi(n/d) * (-3)^d.at n=10A343465
- Distance from 10^n to the next prime triplet.at n=40A357052