10550
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
- 12
- Divisor Sum
- 19716
- Proper Divisor Sum (Aliquot Sum)
- 9166
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4200
- Möbius Function
- 0
- Radical
- 2110
- Omega Function (Ω)
- 4
- 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
- 104
- 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
- Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n.at n=29A016728
- McKay-Thompson series of class 41A for Monster.at n=48A058670
- Diagonal sums of A110537 viewed as a number triangle.at n=18A110539
- Numbers k such that the k-th triangular number contains only digits {2,5,6}.at n=11A119165
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=37A119864
- Numbers n such that sigma(sigma(phi(n))) = sigma(sigma(n)).at n=20A172466
- Number of partitions of n such that the successive differences of consecutive parts are nondecreasing.at n=58A240026
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically.at n=1A254837
- Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically.at n=1A254839
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically.at n=4A254845
- Numbers n such that the sum of digits of 2n equals 4.at n=40A279772
- Numbers k such that k^2 reversed is a prime and k^2+(k^2 reversed) is a prime.at n=19A306301
- Numbers that are a divisor of the sum of their divisors to their own powers.at n=12A336892
- Number of partitions of n into 5 or more distinct parts.at n=46A347572
- Integers that need 10 iterations of the map x->A352172(x) to reach 1.at n=32A352268