12758
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19140
- Proper Divisor Sum (Aliquot Sum)
- 6382
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6378
- Möbius Function
- 1
- Radical
- 12758
- 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
- 81
- 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
- Largest number not the sum of distinct positive n-th powers.at n=1A001661
- Denominators of continued fraction convergents to sqrt(683).at n=7A042313
- Records in A018892.at n=50A126097
- Row sums of triangle A131424.at n=44A131425
- a(n) = Sum of all numbers of divisors of all numbers < (n+1)^2.at n=39A168011
- G.f.: exp( Sum_{n>=0} [ Sum_{k=0..n} C(n,k)^2*x^k ]^2* x^n/n ).at n=9A180718
- Number of right triangles on a (n+1)X6 grid.at n=15A189810
- Even numbers n such that the least e with n^e a totient is a new record.at n=10A227534
- Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=6A266424
- T(n,k)=Number of nXk binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=51A266428
- Number of 7Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=3A266433
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood.at n=26A270208
- Expansion of Sum_{i>=1} mu(i)^2*i*x^i/(1 - x^i) / Product_{j>=1} (1 - x^j), where mu() is the Moebius function (A008683).at n=20A281904
- Triangle T(n,w) read by rows: the number of fixed polyominoes with n cells and width w of the convex hull.at n=61A308359