10636
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18620
- Proper Divisor Sum (Aliquot Sum)
- 7984
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5316
- Möbius Function
- 0
- Radical
- 5318
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- a(n) = T(2*n, n+3), T given by A026998.at n=4A027002
- a(n) = greatest number in row n of array T given by A026998.at n=14A027008
- a(n) = T(n, 2*n-8), T given by A027960.at n=10A027970
- a(n) = greatest number in row n of array T given by A027960.at n=14A027977
- First differences of A001628 (Fibonacci convolution).at n=13A055243
- Numbers n such that sigma(n) and d(n) are both harmonic (Ore) numbers.at n=5A071767
- Numbers k such that the k-th triangular number contains only digits {5,6,7}.at n=9A119219
- Parameters n for which the elliptic curve y^2=x^3+n has rank 4.at n=9A179124
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=23A272558
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood.at n=26A278957
- G.f.: 1/(1 - x^2/(1 - x^3/(1 - x^5/(1 - x^7/(1 - x^11/(1 - ... - x^prime(k)/(1 - ... ))))))), a continued fraction.at n=34A285407
- Expansion of Product_{k>=1} (1 - x^k)^sigma(k).at n=30A288385
- a(n) is the number of sticky polyhexes with 2*n cells.at n=5A342963
- G.f. A(x) satisfies: A(x) = 1 + x + x^2 * A(x) / (1 - x) + x^2 * A(x)^2.at n=12A349014
- a(n) = the smallest k such that Fibonacci(k) begins and ends with n, where Fibonacci(k) > n, or -1 if there are none.at n=26A374026
- Number of polycubes with 8*n cells, full symmetry, and the rotation point of the symmetries at the common corner of 8 cells (that may or may not be part of the polycube).at n=29A377335
- Expansion of (1/x) * Series_Reversion( x * (1 / (1 + x) - x^5) ).at n=13A389445