6163
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6164
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6162
- Möbius Function
- -1
- Radical
- 6163
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 155
- 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
- 803
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=36A001935
- Number of two-rowed partitions of length 3.at n=33A001993
- Primes of form k^2 + k + 1.at n=27A002383
- Numbers k such that 6!*(2*k-7)!/(k!*(k-1)!) is an integer.at n=6A004786
- Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer.at n=7A004787
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T4 atom.at n=12A019146
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=13A023283
- 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 77.at n=16A031575
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=26A031810
- Primes that are concatenations of n with n + 2.at n=9A032625
- Lucky numbers that are concatenations of n with n + 2.at n=6A032652
- Primes of the form p^k - p + 1 for prime p.at n=13A034915
- Primes with first digit 6.at n=37A045712
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=24A046008
- Primes of the form n*phi(n)+1 where phi(n) is the Euler function.at n=31A046062
- Euclid-Mullin sequence (A000945) with initial value a(1)=13 instead of a(1)=2.at n=4A051310
- a(n) = 4*n^2 - 6*n + 3.at n=39A054569
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=32A056179
- Primes such that replacing each digit d with d copies of the digit d produces a prime. Zeros are not allowed.at n=38A057628
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=33A059055