6717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8960
- Proper Divisor Sum (Aliquot Sum)
- 2243
- 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
- 4476
- Möbius Function
- 1
- Radical
- 6717
- 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
- 88
- 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
- MacMahon's solid partitions of n in which 3 is the smallest summand.at n=11A002044
- Expansion of a modular function for Gamma_0(21).at n=19A002511
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=28A020405
- 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 54.at n=27A031552
- Number of primes between n*100000 and (n+1)*100000.at n=27A038825
- Number of primes between n*100000 and (n+1)*100000.at n=31A038825
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=23A045273
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=36A050967
- Number of asymmetric (identity) trees with n nodes and 4 leaves.at n=29A055335
- Arises in enumeration of 321-hexagon-avoiding permutations.at n=9A092489
- Write 1/e as a binary fraction; read this from left to right and whenever a 1 appears, note the integer formed by reading leftwards from that 1. Then convert those integers from binary into decimal numbers.at n=7A099970
- Complete list of solutions to y^2 = x^3 + 73; sequence gives y values.at n=5A134073
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 4.at n=42A240013
- Number of simple graphs on n nodes having a unique Tutte polynomial.at n=7A243049
- Number of (n+1) X (2+1) 0..1 arrays with no 2 X 2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=5A251311
- Number of (n+1)X(6+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=1A251315
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=22A251317
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=26A251317
- Number of partitions of n into two sorts of parts having exactly 2 parts of the second sort.at n=15A258472
- Numbers x such that x^2 = y^3 + z (0 < abs(z) < y).at n=38A268510