4257
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6864
- Proper Divisor Sum (Aliquot Sum)
- 2607
- 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
- 2520
- Möbius Function
- 0
- Radical
- 1419
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=33A001107
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=51A001973
- a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5).at n=8A005732
- Total number of triangles visible in regular n-gon with all diagonals drawn.at n=8A006600
- Coordination sequence T3 for Zeolite Code AEL.at n=43A008006
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=45A011902
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=29A015709
- Odd composite n such that phi(n) * sigma(n) is one less than a square.at n=11A015722
- Odd 10-gonal (or decagonal) numbers.at n=16A028993
- Partial sums of A027818.at n=6A034266
- a(n) = f(n,n) where f is given in A034261.at n=6A034267
- Positive numbers having the same set of digits in base 5 and base 8.at n=25A037431
- Base-6 palindromes that start with 3.at n=24A043012
- a(n)=T(n,n+2), array T as in A049735.at n=25A049742
- Molien series for group H_{1,3} of order 1152.at n=48A051530
- Molien series for group H_{1,3}^{8} of order 2304.at n=24A051531
- First spoke of a hexagonal spiral.at n=38A056105
- Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n + 5^n.at n=44A057259
- Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.at n=22A057949
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=19A057950