7370
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
- 16
- Divisor Sum
- 14688
- Proper Divisor Sum (Aliquot Sum)
- 7318
- 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
- 7370
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Convolution of A001950 with itself.at n=17A023667
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=44A025200
- Number of partitions of n into an odd number of parts, the least being 4; also, a(n+4) = number of partitions of n into an even number of parts, each >=4.at n=65A027190
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=32A053818
- Least m such that sqrt(m) has a period 2n continued fraction expansion whose palindrome part concatenates to a palindromic prime.at n=8A072135
- Squarefree numbers having exactly three prime gaps.at n=40A073489
- Sum of first n 5-almost primes.at n=29A086047
- Integers n such that 10^n-57 is prime.at n=17A108493
- Start with 1 and repeatedly reverse the digits and add 53 to get the next term.at n=47A118150
- Expansion of -x*(47*x^3+25*x^2+5*x+1)/(38*x^4+54*x^3+22*x^2-1).at n=5A122501
- Numbers k such that k^2 divides 9^k - 1.at n=27A127101
- Numbers k such that k^3 divides 3^(k^2) - 1.at n=27A129211
- Generator for the finite sequence A053016.at n=29A136254
- The sum of the principal diagonals of an n X n spiral.at n=22A137930
- Sum of the principal diagonals of a 2n X 2n square spiral.at n=11A137931
- 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, -1), (1, -1, 0)}.at n=10A148098
- Position in A171922 at which n first appears, or 0 if n never appears.at n=2A171939
- Numbers k such that k^3 divides 9^(k^2) - 1.at n=44A177909
- Number of ordered quintuples of distinct pairwise coprime positive integers with largest element n.at n=44A186976
- Number of nX2 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.at n=2A200708