7538
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11310
- Proper Divisor Sum (Aliquot Sum)
- 3772
- 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
- 3768
- Möbius Function
- 1
- Radical
- 7538
- 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
- 114
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for MgZn2, Position Zn1.at n=22A009937
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=41A010339
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T6 atom.at n=12A019078
- n written in fractional base 9/7.at n=35A024655
- "CFJ" (necklace, size, labeled) transform of 2,2,2,2...at n=8A032134
- "EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...at n=53A032303
- Numbers m such that m^2 ends in 444.at n=30A039685
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=8A047826
- Numbers k such that the sum of digits of k^k is a square.at n=47A066236
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=24A073775
- a(0) = 0, a(1) = 1 and for n >= 2, a(n) = floor(2 * sqrt(a(n-2) * a(n-1))).at n=22A093333
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=50A103129
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=40A120536
- Record minima of the positive distance d between the fifteenth power of a positive integer x and the square of an integer y such that d = x^15 - y^2 (x <> k^2 and y <> k^15).at n=1A179812
- Successive records in maximal positive distance d = x^3 - y^2.at n=37A198831
- Differences between odd powers of 3 and the next smaller square.at n=7A201124
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210749; see the Formula section.at n=41A210750
- Column 0 of square array A211970 (in which column 1 is A000041).at n=25A211971
- Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the maximal part).at n=32A240302
- Numbers n such that A242719(n) = (prime(n))^2+1 and A242720(n) - A242719(n) = 2*(prime(n)+1).at n=11A246748