10675
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15376
- Proper Divisor Sum (Aliquot Sum)
- 4701
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 2135
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 55
- 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
- Pseudoprimes to base 74.at n=39A020202
- Number of partitions of n into parts not of the form 23k, 23k+7 or 23k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=34A035995
- a(n) = denominator of sum of reciprocals of the terms of the continued fraction for H(n) = Sum_{k=1..n} 1/k.at n=17A112287
- 7 times heptagonal numbers: a(n) = 7*n*(5*n-3)/2.at n=25A152777
- A symmetrical triangle sequence:q=4;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=-Eulerian[n + 1, m] + 2*c(n, q)/(c(m, q)*c(n - m, q)).at n=29A176429
- A symmetrical triangle sequence:q=4;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=-Eulerian[n + 1, m] + 2*c(n, q)/(c(m, q)*c(n - m, q)).at n=34A176429
- Numerator of H(n+4) - H(n), where H(n) = Sum_{k=1..n} 1/k.at n=15A189642
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+161)^2 = y^2.at n=24A206426
- -5-Knödel numbers.at n=22A225509
- Sums of seven consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2 + (n+6)^2.at n=39A260637
- Coordination sequence for (2,4,8) tiling of hyperbolic plane.at n=23A265063
- The Pnictogen sequence: a(n) = A018227(n)-3.at n=36A271995
- Number of unlabeled nonplanar connected graphs with n edges with minimum degree 3 at each node that are not 3-connected.at n=6A338584
- Number of hairpin compositions of n.at n=15A338740
- G.f. A(x) satisfies A(x) = 1/((1 - x) * (1 - x^4*A'''(x))).at n=6A385845