10159
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10160
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10158
- Möbius Function
- -1
- Radical
- 10159
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1247
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=20A023290
- Primes that remain prime through 4 iterations of function f(x) = 7x + 6.at n=6A023318
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=34A031597
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=2A031850
- Number of partitions of n where n divides the product of the parts.at n=50A057568
- Primes p such that p^11 reversed is also prime.at n=40A059704
- Numbers n such that (30^n+1)/31 is a prime.at n=7A071382
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6.at n=44A075586
- Class 6- primes (for definition see A005109).at n=23A081425
- Sign twisted convoluted convolved Fibonacci numbers H_j^(2).at n=16A089098
- Where records occur in A118878.at n=18A119904
- a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/3).at n=28A120150
- a(0)=0. a(n) = a(n-1) + (sum of positive integers which are coprime to n, <= n and missing from {a(0),a(1),a(2),..,a(n-1)}).at n=48A122847
- Triangle T(n,k)read by rows given by [3,1,3,1,3,1,3,1,3,1,3,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.at n=22A133366
- Primes whose decimal, binary and binary-decimal reversals are all prime.at n=46A136187
- Primes of the form 15x^2+91y^2.at n=36A140022
- Running prime totals of prime factors (without multiplicity) of consecutive composite N.at n=32A140610
- Primes of the form 2*3*5*7*n+79.at n=24A141563
- Primes congruent to 9 mod 29.at n=43A141985
- Primes congruent to 22 mod 31.at n=41A142026