10226
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15342
- Proper Divisor Sum (Aliquot Sum)
- 5116
- 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
- 1
- Radical
- 10226
- Omega Function (Ω)
- 2
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of positive integers <= 2^n of form 2 x^2 + 5 y^2.at n=16A000286
- T(n, 2*n-4), T given by A027960.at n=20A027966
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=20A031598
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=43A035560
- Denominators of continued fraction convergents to sqrt(358).at n=11A041679
- Numbers k such that 277*2^k + 1 is prime.at n=25A053355
- Third column of triangle A054453.at n=14A054454
- McKay-Thompson series of class 12H for Monster.at n=12A058486
- Semiprimes of the form 2*(m^2 + m + 1) (implying that m^2 + m + 1 is a prime).at n=24A107317
- McKay-Thompson series of class 12H for the Monster group with a(0) = 4.at n=12A187091
- McKay-Thompson series of class 12H for the Monster group with a(0) = 5.at n=12A187198
- Number of tatami tilings of a 7 X n grid (with monomers allowed).at n=11A192093
- (A192533)/2.at n=25A192534
- Expansion of (1/q) * ((chi(q^3) * chi(-q^6)) / (chi(q) * chi(-q^2)))^4 in powers of q where chi() is a Ramanujan theta function.at n=12A193522
- Expansion of (1/q) * chi(-q) * chi(-q^3) * chi(-q^6)^4 / chi(q)^4 in powers of q where chi() is a Ramanujan theta function.at n=12A193557
- Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array.at n=4A219573
- T(n,k) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array.at n=25A219578
- Number of 5 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 5 X n array.at n=2A219582
- Number of partitions p of n such that 2*(number of even numbers in p) > (number of odd numbers in p).at n=35A241655
- Total number of points on a sphere when both poles are on an x by x grid where x=8*n+1.at n=35A254527