15082
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
- 4
- Divisor Sum
- 22626
- Proper Divisor Sum (Aliquot Sum)
- 7544
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7540
- Möbius Function
- 1
- Radical
- 15082
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=21A020394
- Number of tilings of 2 X n rectangle with polyominoes, each of which has area = # of adjacent polyominoes.at n=18A044043
- Bessel function J_0(n) is a monotonically decreasing positive sequence.at n=30A046960
- Number of distinct denominators of rational numbers whose continued fraction consists exclusively of 1s and 2s and has length <=n.at n=15A228805
- Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal.at n=2A237333
- Number of (n+1)X(3+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal.at n=0A237335
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal.at n=3A237340
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal.at n=5A237340
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 310", based on the 5-celled von Neumann neighborhood.at n=33A271198
- Expansion of Product_{k>=1} (1 - x^(2*k))^(2*k)/(1 - x^(2*k-1))^(2*k-1).at n=47A281781
- Number of nX4 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=13A318346
- G.f.: Sum_{n>=0} (n+1) * (x + x^n)^n.at n=66A325997