7431
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9912
- Proper Divisor Sum (Aliquot Sum)
- 2481
- 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
- 4952
- Möbius Function
- 1
- Radical
- 7431
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Expansion of 1/((1-2x)(1-4x)(1-9x)(1-12x)).at n=3A025982
- a(n) = A027082(n, n+3).at n=10A027085
- a(n) = A027082(n, 2n-10).at n=8A027097
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=41A031525
- Numbers whose base-3 representation has exactly 9 runs.at n=10A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 8.at n=26A043799
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=10A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=10A043824
- Numbers n such that 243*2^n-1 is prime.at n=35A050880
- a(n) = (n-1)*(n-2)^3 - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2.at n=22A075681
- Least non-balanced x (i.e., not in A020492) such that sigma(p(n),x)/phi(x) is an integer, where p(n) = n-th prime.at n=26A078540
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 11.at n=7A090890
- Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) + 53 for n > 0.at n=14A101735
- Concatenation of A000204 Lucas numbers (beginning at 1) in reverse order.at n=3A134072
- Partial sums of A027642.at n=25A173242
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=18A192759
- Record values in A194591.at n=16A194600
- Record values in A194606.at n=14A194607
- Record values in A194636.at n=15A194637
- Numbers of pyramid polycubes of a given volume in dimension 5.at n=12A229924