7572
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17696
- Proper Divisor Sum (Aliquot Sum)
- 10124
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2520
- Möbius Function
- 0
- Radical
- 3786
- 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
- 39
- 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
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=36A015631
- 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 58.at n=19A031556
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 58.at n=2A031736
- Sums of 6 distinct powers of 3.at n=42A038468
- Multiples of 6 with only prime digits (2, 3, 5 and 7).at n=25A077535
- Increasingly larger values in A110412.at n=13A111632
- a(n) = 4*(n^2 - n + 1).at n=43A112087
- Square array read by antidiagonals: a(n, d) is the smallest number that begins an arithmetic progression with common difference d of n numbers with the same prime signature.at n=17A113456
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=25A118632
- Expansion of (phi(q) * phi(q^2))^3 in powers of q where phi() is a Ramanujan theta function.at n=38A136028
- a(n) = 216*n + 12.at n=34A154519
- Sums of 2 successive primes s = prime(m) + prime(m+1) such that all digits of s are primes.at n=14A173719
- Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.at n=25A176002
- Number of rectangular arrangements of [1,3n] in 3 increasing sequences of size n and n monotonic sequences of size 3.at n=4A185148
- Number of (n+1)X(n+1) 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing.at n=1A205056
- Number of (n+1)X3 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing.at n=1A205058
- T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing.at n=4A205063
- Number of (n+1) X 2 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor.at n=3A205513
- Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor.at n=0A205516
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor.at n=6A205520