8036
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
- 18
- Divisor Sum
- 16758
- Proper Divisor Sum (Aliquot Sum)
- 8722
- 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
- 3360
- Möbius Function
- 0
- Radical
- 574
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Theta series of A*_13 lattice.at n=52A023925
- Number of days in n years (n=2 is the first leap year).at n=21A033173
- Number of days in n years (n=1 is the first leap year).at n=21A033174
- Numbers having four 1's in base 6.at n=29A043376
- Numbers k such that k and k+1 are modest (cf. A054986).at n=10A055018
- The sum of the non-divisors of n (less than n) is a multiple of the sum of the divisors of n.at n=14A066860
- Sum of squares of numbers that cannot be written as t*n + u*(n+1) for nonnegative integers t,u.at n=6A076389
- Numbers k such that sum of the divisors d of k divides 1 + 2 + ... + k = k(k+1)/2.at n=16A076617
- Sums of squares of primitive roots of primes.at n=13A089453
- Sum of largest parts of all compositions of n.at n=11A102712
- Number of partitions of n into parts but with two kinds of parts of sizes 1 to 8.at n=17A103927
- a(n) = n*(n+13)*(n+14)/6.at n=28A111144
- Triangle read by rows: T(n,k) = count of increasing runs in two concatenated k-permutations of [n].at n=29A122823
- In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg.at n=25A130515
- In triangular peg solitaire, number of distinct solvable feasible pairs starting with one peg missing and finishing with one peg.at n=25A130516
- Partial sum of irregular primes A000928.at n=27A132360
- A007318 * [1, 1, -1, 1, 1, 1, ...].at n=13A142974
- 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), (0, 1, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150537
- 1/30 of the number of permutations of 5 indistinguishable copies of 1..n with exactly 2 local maxima.at n=3A152509
- Square root of A003462, rounded up.at n=16A160393