10450
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 11870
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 2090
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=19A007586
- Powers of fourth root of 5 rounded up.at n=23A018059
- Nearest integer to Gamma(n + 4/7)/Gamma(4/7).at n=8A020031
- a(n) = floor( Gamma(n+4/7)/Gamma(4/7) ).at n=8A020076
- Positive numbers k such that k and 5*k are anagrams in base 6 (written in base 6).at n=3A023067
- Even 9-gonal (or enneagonal) numbers.at n=27A028992
- a(n) = (2*n+1)*(7*n+1).at n=27A033572
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=30A038666
- Row sums of A075652.at n=18A075650
- Numbers n such that A001414(n) = sum of squared digits of n.at n=19A094908
- Output of the linear congruential pseudo-random number generator rand() used in Microsoft's Visual C++.at n=9A096558
- 63-gonal numbers: a(n) = n*(61*n - 59)/2.at n=19A098140
- Triangle, read by rows, where T(n,k) = T(n,k-1) + (k+1)*T(n-1,k) for n>k>0, T(n,0)=1 and T(n,n) = T(n,n-1) for n>=0.at n=25A102316
- Enneagonal numbers for which the product of the digits is also an enneagonal number.at n=16A117052
- Values of m such that A139361(n)=4m+1.at n=25A139362
- Shifts left when Dirichlet convolution with a (DC:(b,a)->c) applied 9 times.at n=5A144822
- Number of line segments connecting exactly 6 points in an n x n grid of points.at n=29A177722
- Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=28A201501
- G.f.: exp( Sum_{n>=1} 2*Pell(n)^(2*n) * x^n/n ), where Pell(n) = A000129(n).at n=3A208056
- a(n) = Sum_{i=0..n} digsum_7(i)^3, where digsum_7(i) = A053828(i).at n=40A231678