7485
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 4515
- 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
- 3984
- Möbius Function
- -1
- Radical
- 7485
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=34A000702
- Number of sensed simple planar maps with n edges and without vertices of degree 1.at n=12A006400
- n written in fractional base 10/7.at n=45A024662
- Numbers whose base-3 representation has exactly 9 runs.at n=26A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=26A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=26A043824
- Number of positive integers <= 2^n of form 9 x^2 + 9 y^2.at n=18A054193
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=38A089613
- Number of partitions of n such that the number of different parts is odd.at n=34A090794
- Coefficients arising in combinatorial field theory.at n=3A094074
- a(n) = Sum_{i=0..n-1} 2^i*prime(n-i).at n=10A110299
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 0, 1), (1, 0, -1), (1, 1, -1)}.at n=9A148631
- Number of strip poly-IH68-tiles (holes allowed) with n cells.at n=11A182646
- Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4.at n=4A197367
- Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4.at n=4A197370
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4.at n=40A197373
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4<x^4+y^4.at n=22A211652
- Coefficients of the nonnegative powers of rho(11) = 2*cos(Pi/11) when written in the power basis of the degree 5 number field Q(rho(11)). Negative of the coefficients of the second power.at n=14A231184
- Numbers n such that n*2^1279 - 1 is prime.at n=16A265502
- Numbers n such that n*2^2281 - 1 is prime.at n=3A265504