7536
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
- 20
- Divisor Sum
- 19592
- Proper Divisor Sum (Aliquot Sum)
- 12056
- 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
- 2496
- Möbius Function
- 0
- Radical
- 942
- Omega Function (Ω)
- 6
- 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
- 132
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CHI = Chiavennite Ca4Mn4[Be8Si20O52(OH)8].8H2O starting with a T2 atom.at n=14A019092
- n written in fractional base 9/7.at n=33A024655
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=23A028589
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=23A029719
- Multiplicity of highest weight (or singular) vectors associated with character chi_23 of Monster module.at n=36A034411
- Positive numbers having the same set of digits in base 4 and base 9.at n=39A037427
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=18A045614
- Expansion of e.g.f. (1-x)/(1-5x+3x^2).at n=4A052629
- a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0.at n=58A052920
- a(n+1) = a(n) converted to base 10 from base 11.at n=50A055982
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=23A064244
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,25.at n=2A064249
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45.at n=4A064259
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A073286/A073287.at n=10A089404
- Triangular matrix T, read by rows, that satisfies: T^2 + 2*T = SHIFTUP(T), also T^(n+1) + 2*T^n = SHIFTUP(T^n - D*T^(n-1)) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}.at n=16A103236
- Expansion of e.g.f. 1/(1 - sinh(x))^2.at n=6A107404
- Triangle T, read by rows, equal to the matrix square of triangle A117418; also equals a column bisection of triangle A117418: column 2k+1 of T^(1/2) equals column k of T.at n=61A117427
- Site series for first perpendicular moment of 4.8 (bathroom tile) lattice.at n=20A120560
- Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers.at n=37A126283
- Numbers k such that 3 and 5 do not divide binomial(2*k, k).at n=34A129508