10377
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15002
- Proper Divisor Sum (Aliquot Sum)
- 4625
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 3459
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=48A011892
- a(n) = Sum_{k=0..n} T(n,k) * T(n,2n-k), with T given by A027113.at n=7A027135
- [ exp(13/18)*n! ].at n=6A030879
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=29A064180
- Stirling-like number triangle defined by the sequence A000292=C(n+3,3).at n=33A080249
- Numbers n such that 5*7^n + 2 is prime.at n=9A083351
- Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees.at n=6A123775
- 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=16A135332
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=39A161589
- Numbers n that (n^3 - 4,n^3 - 2) is a twin prime pair.at n=39A178507
- Unique terms in sequence A294640, in order by size.at n=63A294641
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) -2, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=37A294868
- Odd composite integers m such that A087130(2*m-J(m,29)) == 5*J(m,29) (mod m), where J(m,29) is the Jacobi symbol.at n=43A339519
- Expansion of (1/x) * Series_Reversion( x * (1+x)^2 / (1+x+x^3)^3 ).at n=10A372377
- Number of subsets of {1,2,...,n} such that no two elements differ by 3 or 5.at n=21A375978
- Number of rungs, k, in deficient ladders to be assembled together in that order, to make a ladder that can be climbed to some height. Details are in the Comments.at n=54A377171
- Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x)^2 * exp(-x * (1 - x)) ).at n=4A380675
- Triangle read by rows: T(n,k) = Sum_{i=k..n} C(i-1,i-k)*C(i,k).at n=49A382225