6257
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6258
- 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
- 6256
- Möbius Function
- -1
- Radical
- 6257
- 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
- 124
- 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
- 813
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of positive integers <= 2^n of form 2*x^2 + 3*y^2.at n=15A000075
- Numerators of expansion of Jacobi nome q in parameter m.at n=5A002639
- Number of nonequivalent dissections of a polygon into n quadrilaterals by nonintersecting diagonals up to rotation and reflection.at n=8A005036
- Number of partitions of n in which no part occurs just once.at n=50A007690
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=32A014112
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=17A020384
- Expansion of Product_{m>=1} (1 + m*q^m)^2.at n=12A022630
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=17A023273
- Smallest prime containing n-th square as substring.at n=25A029948
- Smallest nontrivial extension of n-th square which is a prime.at n=24A030685
- Primes p such that x^23 = 2 has no solution mod p.at n=39A040984
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=14A045186
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=43A047948
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=34A048524
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=16A052232
- Prime number spiral (clockwise, Southwest spoke).at n=14A054568
- First spoke of a hexagonal spiral.at n=46A056105
- Number of n-celled polyominoes without holes, symmetric about axis 2.at n=33A056880
- a(n) = 10*n^2 + 7.at n=25A061722
- Integer part of (Product(n^((1 + log(1 + i))/i^2), {i, 1, n})).at n=16A062486