5282
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 3118
- 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
- 2484
- Möbius Function
- -1
- Radical
- 5282
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 103
- 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
- Number of inequivalent ways of placing n nonattacking rooks on n X n board up to rotations and reflections of the board.at n=7A000903
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=48A001305
- A Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-7), n >= 8.at n=18A001636
- Every prefix prime in base 9 (written in base 9).at n=35A024769
- 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 72.at n=3A031570
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) <= cn(3,5).at n=66A036870
- Numerators of continued fraction convergents to sqrt(749).at n=7A042442
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=22A045940
- Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities).at n=7A045941
- Seventh column of triangle A055249.at n=6A055250
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=19A063372
- Numbers k such that the product of the digits of k is equal to the sum of the prime factors of k, counted with multiplicity.at n=20A065774
- Numbers n such that the sum of the prime factors of n equals the product of the digits of n.at n=16A067173
- Number of partitions of n into Lucas parts (A000032).at n=49A067593
- Number of non-unimodal compositions of n into distinct terms.at n=24A072707
- G.f.: (1+x^5+x^7+x^8+x^10+x^15)/((1-x^2)(1-x^3)(1-x^4)(1-x^6)^2(1-x^9)).at n=53A089599
- Smallest number which requires n iterations to reach a prime when iterating x + sum of squares of digits of x.at n=39A094658
- a(n) = n^2 + (n concatenated with n).at n=37A105814
- Binomial transform of number triangle A105632.at n=48A105848
- Coefficients of cubic equations in the form w^2=4*x^3-g2*x-g3 Weierstrass elliptic form whose solutions approximate zeta zeros.at n=42A114984