6258
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 8142
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1776
- Möbius Function
- 1
- Radical
- 6258
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 111
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=28A002653
- Number of rooted toroidal maps with 2 faces, n vertices and no isthmuses.at n=5A006469
- Number of optimal binary prefix-free codes with n words all ending in 1.at n=37A055167
- Numbers k such that 5*2^k + 3 is prime.at n=41A058586
- Numbers n such that n and its reversal are both multiples of 14.at n=29A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=19A062913
- Triangle T(n,k) read by rows of partially ordered sets ("posets") with n unlabeled nodes and k maximal elements (0 <= k <= n).at n=38A065066
- Difference between A007678(2n)/(2n) and (n-1)^2.at n=28A085611
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=30A098499
- a(1) = 1+2-3 = 0, a(2) = 4+5+6-7 = 8, a(3) = 8+9+10+11-12 = 26, a(4) = 13+14+15+16+17-18 = 57, ...at n=21A111694
- Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial transform. Same as interpolating the beta numbers 1/beta(n,n) (A002457) with (A163869). Triangle read by rows, for n >= 0, k >= 0.at n=16A163842
- Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1-3*x^2)/(1-3*x+4*x^3).at n=11A175656
- Numbers n such that n^6 + 1091 is semiprime.at n=43A181113
- Number of nXnXn triangular 0..6 arrays with no element equal to the sum mod 7 of any two neighbors.at n=2A193186
- Numbers n such that 6n and sigma(6n) are both a twin prime average.at n=42A202607
- Principal diagonal of the convolution array A213564.at n=6A213565
- Number of strict partitions of n such that (least part) < number of parts.at n=56A237976
- Number of compositions of n into parts with multiplicity not larger than 5.at n=14A243083
- Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.at n=59A249250
- Squarefree kernel of A255334: a(n) = A007947(A255334(n)).at n=44A255424