6506
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
- 4
- Divisor Sum
- 9762
- Proper Divisor Sum (Aliquot Sum)
- 3256
- 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
- 3252
- Möbius Function
- 1
- Radical
- 6506
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=26A020362
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=41A025524
- Numbers having three 8's in base 9.at n=18A043487
- Numbers whose base-3 representation contains exactly one 0 and no 1's.at n=25A044970
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=5A045104
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 23.at n=11A051988
- A companion sequence to A011896.at n=46A055610
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=35A063340
- Numbers k such that the first k binary digits of Pi expressed in decimal forms a prime.at n=8A065987
- a(n) is the smallest j such that 1/2 + 1/5 + 1/8 + ... + 1/j exceeds n.at n=2A091464
- a(n)=(a^n-b^n)/(a-b), where a=1.3802775690976141157... and b=-0.8191725133961644397... are the real roots of x^4-x^3-1=0.at n=28A097719
- a(n) = smallest k such that A114266(k) = n.at n=38A114267
- 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, -1, 1), (-1, 1, -1), (1, 0, 0), (1, 0, 1)}.at n=8A149872
- 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, 0), (-1, 1, -1), (1, 0, 1), (1, 1, -1), (1, 1, 0)}.at n=7A150413
- Number of simsun permutations of {1,2,...,n} having at least one 321 pattern. A permutation p in S_n is said to be simsun if it has no double descents and with the hereditary property that when n, n-1, ..., 2, 1 are deleted in succession, the property of not having double descents is preserved after each deletion.at n=8A166298
- Conjecturally, even numbers n such that every even number greater than n has more decompositions as the sum of two primes.at n=40A174327
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=29A179140
- An unrestricted partition statistic: sum of A179864 over row n.at n=18A179862
- Number of partitions of n having no parts with multiplicity 8.at n=31A184643
- Number of 3-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=27A187508