10803
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15568
- Proper Divisor Sum (Aliquot Sum)
- 4765
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6624
- Möbius Function
- -1
- Radical
- 10803
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).at n=11A008780
- Smallest composite x such that sigma(x+2^n) = sigma(x) + 2^n.at n=12A054987
- Expansion of (1+x^2)*(1+x^5)/( Product_{j=1..7} (1-x^j) ).at n=36A060962
- a(n) = A000203(n) * A024916(n).at n=17A143238
- 3 times 13-gonal (or tridecagonal) numbers: a(n) = 3*n*(11*n - 9)/2.at n=26A153875
- a(n) = 64*n^2 - n.at n=12A157948
- a(n) = 169*n^2 - 13.at n=7A158550
- Expansion of (1-x+19*x^3-3*x^4)/(1-x)^3.at n=38A195241
- Number of partitions of n avoiding equidistant 3-term arithmetic progressions.at n=51A238433
- Main diagonal of A332367, divided by 4.at n=21A332368
- Numbers that are the sum of eight fourth powers in six or more ways.at n=35A345581
- Numbers that are the sum of eight fourth powers in seven or more ways.at n=7A345582
- Numbers that are the sum of eight fourth powers in exactly seven ways.at n=7A345839
- a(n) = a(n-1) + a(n-2) + gcd(a(n-1), n), a(1) = a(2) = 1.at n=18A360884
- Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+5) / (3*k+5)! ).at n=16A365897
- Fixed points in A375564.at n=22A376584