10375
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 2729
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8200
- Möbius Function
- 0
- Radical
- 415
- 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
- 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
- Number of partitions of n in which no parts are multiples of 3.at n=44A000726
- Numbers k such that phi(k) | sigma_10(k).at n=16A015768
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (primes).at n=24A024604
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 25 ones.at n=2A031793
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=42A033568
- Matrix 7th power of partition triangle A008284.at n=37A050301
- Centered 14-gonal numbers.at n=38A069127
- Structured tetrakis hexahedral numbers (vertex structure 5).at n=14A100174
- Number of partitions of {1,...,n} containing 3 strings of 3 consecutive integers such that only v-strings of consecutive integers can appear in a block, where v = 1,2,3.at n=4A105493
- Number of inequivalent n-colorings of the vertices of the 3D cube under full orthogonal group of the cube (of order 48).at n=4A128766
- Centered 1729-gonal numbers.at n=3A130876
- a(n) = 15*n^2 + 9*n + 1.at n=26A134153
- First of two consecutive numbers with at least one 3 in their prime signature.at n=50A176313
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=n-w+|y-z|.at n=27A212684
- Numbers k such that k and k+1 are both of the form p*q^3 where p and q are distinct primes.at n=13A215173
- Govindarajan's triangle C arising in enumeration of multi-dimensional partitions, read by rows.at n=41A216803
- Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 7 as largest digit.at n=35A256634
- Number of nX5 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=13A298180
- Array read by descending antidiagonals: A(n,k) is the number of unoriented colorings of the facets of a regular n-dimensional orthoplex using up to k colors.at n=23A325013
- Sum of the sixth largest parts of the partitions of n into 9 parts.at n=41A326468