7130
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 6694
- 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
- 2640
- Möbius Function
- 1
- Radical
- 7130
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=18A010012
- Number of up steps in all length n left factors of Dyck paths.at n=12A014314
- Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n.at n=24A016728
- Numbers whose sum of divisors is a cube.at n=36A020477
- a(n) = n*(27*n - 1)/2.at n=23A022284
- Expansion of 1/((1-2x)(1-5x)(1-9x)(1-11x)).at n=3A026028
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=26A026060
- Numbers k such that 277*2^k + 1 is prime.at n=22A053355
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=36A054275
- Number of non-factorable subsets of size >= 2 of a 1 X n uniform grid.at n=12A057750
- McKay-Thompson series of class 10C for Monster.at n=48A058099
- Squarefree numbers having exactly three prime gaps.at n=38A073489
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=30A080392
- Numbers k such that k!!!!! - 1 is prime.at n=50A085149
- Sum of first n 4-almost primes.at n=41A086046
- Number of partitions of 2n in which each odd part has even multiplicity and each even part has odd multiplicity.at n=23A100847
- Multiplicative encoding of triangle formed by reading Pascal's triangle mod 2 (A047999).at n=10A123098
- Expansion of (eta(q) * eta(q^2) / (eta(q^5) * eta(q^10)))^2 in powers of q.at n=48A132041
- Number of rectangles in a pyramid built with squares. The squares counted in A092498 are excluded.at n=13A134507
- 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, -1), (-1, 0, 1), (0, 0, 1), (0, 1, 0), (1, 0, -1)}.at n=8A149881