10376
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19470
- Proper Divisor Sum (Aliquot Sum)
- 9094
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 2594
- Omega Function (Ω)
- 4
- 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
- 104
- 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
- Maximal length of rook tour on an n X n board.at n=24A006071
- Number of n-celled polygons with perimeter 2n on square lattice.at n=6A006726
- Numbers k such that k^2 and k have same last 3 digits.at n=42A008853
- Triangle T(n,k), n>=1, read by rows, where T(n,k) is the number of lattice polygons with area n and perimeter 2*k.at n=25A008855
- Numbers k in which the digits of k^2 appear.at n=13A029774
- Numbers k such that k and k^2 have the same set of digits.at n=8A029793
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 25.at n=39A031523
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=14A045056
- Numbers m such that m^2 can be obtained from m by inserting an internal block of (contiguous) digits.at n=23A045953
- Numbers k such that k^2 can be obtained from k by inserting a block of digits.at n=30A046838
- Number of integer partitions of n with a part dividing all the other parts.at n=34A083710
- a(1)=1; for n>1, a(n) = a(n-1) + n^0 if n odd, a(n) = a(n-1) + n^3 if n is even.at n=15A135332
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 6 and 7.at n=13A136848
- The Wiener index of a chain of n triangles (i.e., joined like VVV..VV; here V is a triangle!).at n=23A143941
- Expansion of g.f. 1 - 2*x*(-7 - 10*x + x^2)/(x - 1)^4.at n=12A152100
- Number of ways to arrange 3 nonattacking knights on the lower triangle of an n X n board.at n=8A194487
- T(n,k)=Number of ways to arrange k nonattacking knights on the lower triangle of an n X n board.at n=63A194492
- Number of length n+3 0..7 arrays with no pair in any consecutive four terms totalling exactly 7.at n=1A246478
- T(n,k)=Number of length n+3 0..k arrays with no pair in any consecutive four terms totalling exactly k.at n=29A246479
- Number of length 2+3 0..n arrays with no pair in any consecutive four terms totalling exactly n.at n=6A246481