6175
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8680
- Proper Divisor Sum (Aliquot Sum)
- 2505
- 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
- 4320
- Möbius Function
- 0
- Radical
- 1235
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 142
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 partitions into non-integral powers.at n=32A000327
- a(n) = n*(11*n^2 - 5)/6.at n=15A004467
- Number of n-step mappings with 4 inputs.at n=13A005945
- 4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position.at n=21A006522
- Number of regions in regular n-gon with all diagonals drawn.at n=20A007678
- Convolution of primes with themselves.at n=16A014342
- Odd heptagonal numbers (A000566).at n=25A014637
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite APC = AlPO4-C [Al16P16O64 ](1,2) starting from a T1 atom.at n=5A018978
- Pseudoprimes to base 51.at n=24A020179
- Pseudoprimes to base 74.at n=30A020202
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 18.at n=11A022182
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 18.at n=13A022182
- a(n) = n*(n^2 + 12*n - 25)/6.at n=30A026057
- a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5).at n=11A027659
- a(n) = (2*n+1)*(3*n+1)*(4*n+1).at n=6A033591
- Numerators of continued fraction convergents to sqrt(615).at n=5A042180
- a(n) = n*(2*n+5)*(n-1)/6.at n=26A051925
- Numbers with a sum of digits equal to their greatest prime factor.at n=42A052021
- a(n) = ((6*n+7)(!^6))/7, related to A008542 ((6*n+1)(!^6) sextic, or 6-factorials).at n=3A053100
- a(n) = n^3 + n^2 + n + 1.at n=18A053698