10725
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 10107
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 2145
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- no
- Odd
- yes
Appears in sequences
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=25A002412
- Degrees of irreducible representations of Suzuki group Suz.at n=9A003902
- Degrees of irreducible representations of Fischer group Fi22.at n=7A003913
- Number of loopless rooted planar maps with 4 faces and n vertices and no isthmuses.at n=7A006417
- Odd hexagonal pyramidal numbers.at n=12A015225
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=48A023855
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=19A031173
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=36A031174
- Partial sums of A027818.at n=7A034266
- a(n)=f(n,n-1) where f is given in A034261.at n=6A034274
- Denominators of continued fraction convergents to sqrt(97).at n=11A041175
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= n/2.at n=20A047165
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-1)/2.at n=20A047176
- Number of (0,1) matrices with n ones and no zero rows or columns, up to row and column permutations.at n=10A049311
- Sum of terms of n-th row of A077321.at n=12A077324
- Ordered product of the sides of primitive Pythagorean triangles divided by 60.at n=22A081752
- Least k such that decimal representation of k*n contains only digits 0 and 3.at n=27A096682
- Triangle T(n,k) read by rows: number of 12312-avoiding matchings on [2n] with exactly k crossings (n >= 1, 0 <= k <= n-1).at n=31A108410
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=20A125017
- 5 times hexagonal numbers: 5*n*(2*n-1).at n=33A152745