10353
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
- 16
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 6927
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 1
- Radical
- 10353
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 104
- 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
- Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=60A036824
- Number of 3 x n binary matrices without unit columns up to row and column permutations.at n=31A057524
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=41A061658
- a(n) = floor(e^n mod n^e).at n=30A066433
- Numbers k such that average of prime(k) and prime(k+1) is a perfect square.at n=42A076692
- Convolution of natural numbers >= 2 and the partition numbers (A000041).at n=19A082775
- Molien series for action of SL(3,C) on ternary forms of degree 4.at n=28A083024
- a(n) = (3^n-1)/2 + 2^n.at n=9A094374
- Odd terms of A059756.at n=7A111042
- Smallest order of the cyclotomic polynomial whose maximal coefficient in absolute value is n.at n=7A136418
- Row sums from A144562.at n=20A144640
- 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, 0, 0), (0, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149426
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=19A153747
- a(n) = 4*n^2 + 79*n + 390.at n=40A157434
- Array associated with "the Mysterious B Sequence", by antidiagonals.at n=9A186158
- Array associated with "the Mysterious B Sequence", by antidiagonals.at n=43A186158
- Numerators b(n) of Pythagorean approximations b(n)/a(n) to Pi.at n=4A195545
- Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments.at n=21A208181
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=4A208182
- Number of partitions of n such that (least part) = (multiplicity of greatest part).at n=35A240180