6536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13200
- Proper Divisor Sum (Aliquot Sum)
- 6664
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3024
- Möbius Function
- 0
- Radical
- 1634
- Omega Function (Ω)
- 5
- 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
- 44
- 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
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=33A005897
- Coordination sequence for NiAs(1), As position.at n=33A009943
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=20A029719
- Sum of first n primes of form 4k+1.at n=35A038346
- Numbers ending with '6' that are the difference of two positive cubes.at n=28A038861
- Row 5 of square array defined in A047662.at n=7A047661
- Numbers k such that (sum of the nonprime proper divisors of k) - (sum of prime divisors of k) = k.at n=4A048055
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049723.at n=32A049725
- Indices of terms in the sequence 3, 1, 4, 5, 9, 14, 23, ... (A000285 prefixed with 3) which are prime numbers.at n=37A091158
- a(1)=1, a(n) = 2(n^(n-1)-1)/(n-1)^2.at n=6A093462
- a(1) = 2, a(n) = a(n-1) + 3*(a(n-1)-floor(a(n-1)^(1/3))^3).at n=18A096295
- Least multiple of n such that every partial concatenation followed by a 3 is prime.at n=42A111437
- Number of compositions of n with parts in N which avoid the consecutive pattern 123.at n=14A128761
- Concatenation of first two digits and last two digits of n-th even superperfect number A061652(n).at n=5A138869
- 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, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150382
- Consecutive Waterman having identical vfe counts yet different hulls.at n=44A159033
- a(1) = 2, a(n) = (n-th-even n^3) - (sum of previous terms).at n=17A181509
- a(n) = n*(7*n+3)/2.at n=43A186029
- Monotonic ordering of nonnegative differences 3^i-5^j, for 40>= i>=0, j>=0.at n=27A192149
- Monotonic ordering of nonnegative differences 9^i-5^j, for 40>= i>=0, j>=0.at n=14A192200