10228
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17906
- Proper Divisor Sum (Aliquot Sum)
- 7678
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5112
- Möbius Function
- 0
- Radical
- 5114
- 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
- 135
- 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
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=44A014088
- Sum of primes in n-th shell of prime spiral.at n=4A053997
- E.g.f: A(x) = f(x*A(x)^3), where f(x) = (1+4*x)*exp(x).at n=3A088694
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=31A096926
- Number of 2 X 2 matrices M of positive integers such that permanent(M) < n.at n=43A212151
- Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=39A232790
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 3.at n=34A259583
- Values of f(2,x,y) in increasing order, for x>=0, y>0 where f is the Sudan function defined in A260002.at n=10A260004
- a(n) = f(2,n,2), where f is the Sudan function defined in A260002.at n=1A260005
- a(n) = smallest m such that A031131(m) = 2*n.at n=40A261525
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood.at n=23A270620
- a(n) = n^3 + 2*n^2 + 4*n + 1.at n=21A270867
- a(n) = 2^n*(n/8 + 1) - n.at n=10A291097
- Number of integer partitions of n whose distinct parts are pairwise coprime.at n=44A304709
- Start with a square of dimension 1 X 1, and repeatedly append along the squares of the previous step squares with half their side length that do not overlap with any prior square; a(n) gives the number of squares appended at n-th step.at n=10A321237
- The number of days elapsed since the Gregorian (proleptic) date Sunday, December 31, 1 BC on 1/1/n, where 1/1/n is the Gregorian date in the format month/day/year, the New Year's Day of the year n.at n=28A350471