10317
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14560
- Proper Divisor Sum (Aliquot Sum)
- 4243
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- -1
- Radical
- 10317
- Omega Function (Ω)
- 3
- 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
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 distributive lattices; also number of paths with n turns when light is reflected from 9 glass plates.at n=5A030113
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=28A057123
- Number of log-concave compositions (ordered partitions) of n.at n=42A069916
- Ordered product of the sides of primitive Pythagorean triangles divided by 60.at n=21A081752
- a(n) = Sum_{k=0..n-1} sigma(2k+1)*sigma_3(n-k).at n=8A081860
- Number of 5-tuples (v1,v2,v3,v4,v5) of nonnegative integers less than n such that v1 <= v5, v2 <= v5, v2 <= v4 and v3 <= v4.at n=8A085461
- Odd interprimes divisible by 19.at n=26A126231
- Numbers k such that 10^k*(2+3*10^k)+3 is prime.at n=16A171249
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4.at n=6A197359
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4.at n=2A197363
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4.at n=38A197364
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4.at n=42A197364
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.at n=34A217183
- Number of partitions of n without three consecutive parts in arithmetic progression.at n=48A238424
- Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition).at n=55A256530
- Numbers n such that abs(n - 4^k) is prime for k = 1..8.at n=8A281047
- Solution of the complementary equation a(n) = a(n-1) + 2*a(n-2) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.at n=12A295146
- Indices of primes followed by a gap (distance to next larger prime) of 34.at n=42A320715
- a(n) = 6*a(n-1) - 7*a(n-2) - 2*a(n-3) for n >= 3, with a(0) = a(1) = 0, a(2) = 1.at n=8A345031
- Numbers k such that A361338(k) = 8.at n=26A361347