8183
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 1393
- 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
- 6972
- Möbius Function
- 0
- Radical
- 1169
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- no
- Odd
- yes
Appears in sequences
- Numerators of logarithmic numbers (also of Gregory coefficients G(n)).at n=9A002206
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=7A014885
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=28A017826
- a(1) = 2; a(n+1) = a(n)-th composite.at n=31A022450
- Sums of 12 distinct powers of 2.at n=9A038463
- Numbers having three 2's in base 9.at n=36A043463
- Number of n-bead black-white reversible strings with fundamental period n.at n=14A045625
- Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.at n=13A056318
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=31A090424
- Column 3 of triangle A091602.at n=39A091606
- a(n) = (Sum_{k=1..n} A073698(k))^(1/n).at n=45A093928
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=20A098936
- a(n) = Sum_{k=1..n} A123706(n,k)*2^(k-1).at n=14A123707
- 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), (0, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=8A150033
- Greatest number m such that the fractional part of (4/3)^A154132(m) >= 1-(1/m).at n=6A154136
- Greatest number m such that the fractional part of (4/3)^A154133(n) >= 1-(1/m).at n=6A154137
- a(n) = 4*2^n - 9.at n=10A172252
- a(n) = ADPE(n) is the total number of aperiodic k-double-palindromes of n up to cyclic equivalence, where 1 <= k <= n.at n=24A181314
- a(n) = 2^n - 9.at n=13A185346
- Monotonic ordering of nonnegative differences 2^i-9^j, for 40>=i>=0, j>=0.at n=34A192122