7406
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13272
- Proper Divisor Sum (Aliquot Sum)
- 5866
- 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
- 3036
- Möbius Function
- 0
- Radical
- 322
- 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
- 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
- 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) = round(n*phi^12), where phi is the golden ratio, A001622.at n=23A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=23A004967
- If a, b in sequence, so is ab+10.at n=35A009368
- Expansion of 1/((1-4x)(1-5x)(1-9x)(1-10x)).at n=3A028124
- Floor( 7*n^2/2 ).at n=46A032525
- Sum of the remainders when n^2 is divided by squares less than n.at n=39A067459
- Antidiagonal sums of square array A082011.at n=13A082014
- Number of subsets of {1, ..., n} that are double-free but not sum-free.at n=16A088810
- Expansion of g.f.: x*(2 - 9*x - 4*x^2)/((1 - 5*x + x^2)*(1 - 5*x - x^2)).at n=6A106804
- Number of forests of rooted trees with total weight n, where a node at height k has weight 2^k (with root considered to be at height 0).at n=36A115593
- n times n+9 gives the concatenation of two numbers m and m-1.at n=5A116284
- a(n) = 14*n^2.at n=23A144555
- Numbers n such that 2^x + 3^y is never prime when max(x,y) = n.at n=10A159625
- a(2*n) = n*a(n); a(2*n+1) = n*a(n) + a(n+1), with a(1) = 1.at n=45A176528
- Concentric 14-gonal numbers.at n=46A195145
- Number of length n+7 0..1 arrays with at most one downstep in every 7 consecutive neighbor pairs.at n=10A255991
- Numbers n such that Bernoulli number B_{n} has denominator 282.at n=21A272184
- Numbers k such that (5*10^k - 29)/3 is prime.at n=18A282505
- Expansion of Product_{k>=1} ((1 + x^(k^3))/(1 - x^(k^3)))^(k^3).at n=33A291721
- Expansion of Product_{k>=1} ((1 + x^(k^3))/(1 - x^(k^3)))^(k^3).at n=34A291721