6460
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 8660
- 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
- 2304
- Möbius Function
- 0
- Radical
- 3230
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (7*n+3)*(7*n+5)*(7*n+6).at n=2A001561
- Expansion of (1+x)^2/(1-18*x+x^2).at n=3A004292
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=15A006504
- Super ballot numbers: 60*(2n)!/(n!*(n+3)!).at n=10A007272
- a(n) = floor(binomial(n,6)/6).at n=20A011852
- a(n) = floor(n(n-1)(n-2)(n-3)/18).at n=20A011928
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=21A015817
- Number of lines through at least 2 points of an n X n grid of points.at n=13A018808
- Expansion of 1/(1-4*x)^(15/2).at n=3A020926
- Numbers n such that prime(n) mod n <= 10.at n=47A022465
- Number of partitions of n into parts of 16 kinds.at n=4A023014
- Numbers k such that prime(k) == 1 (mod k).at n=8A023143
- Numbers having period-4 6-digitized sequences.at n=38A031197
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3.at n=5A037717
- Numerators of continued fraction convergents to sqrt(45).at n=8A041076
- Numerators of continued fraction convergents to sqrt(405).at n=2A041768
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=20A045614
- A diagonal of A008296.at n=14A059302
- Erroneous version of A005160.at n=11A059740
- a(n) = 3^n - (3*n^2 + n + 2)/2.at n=8A061983