10318
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19584
- Proper Divisor Sum (Aliquot Sum)
- 9266
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- 1
- Radical
- 10318
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n that do not contain 6 as a part.at n=35A027340
- Triangle of numbers arising in enumeration of walks on cubic lattice.at n=31A052179
- Numbers k such that (3^k + 5)/2 is prime.at n=21A058960
- Triangle of numbers relating two sequences A073155 and A073156.at n=34A073153
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=40A073735
- Numbers k such that 2^k - 11 is prime.at n=12A096817
- a(n) = 8 + floor((2 + Sum_{j=1..n-1} a(j))/4).at n=32A120166
- Number of essentially different semi-magic squares of order 3 with semimagic sum n.at n=26A122751
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (0, 1), (1, 0)}.at n=10A151278
- The second left hand column of triangle A167552.at n=32A167554
- a(n) = n^3/6 + 3*n^2/4 + 7*n/3 + 7/8 + (-1)^n/8.at n=38A173154
- Row sums of triangle A176331.at n=8A176332
- Main diagonal starting k=2 of array A(k,n) = numbers n such that n^k - prime(n) is a prime.at n=31A213477
- Carlitz compositions of n into odd parts.at n=30A218694
- Convolution of nonzero pentagonal numbers (A000326) with themselves.at n=9A271662
- Total volume of all rectangular prisms with dimensions r X s X t where r, s and t are the smallest, middle and largest parts in each partition of n into 3 parts.at n=22A307684
- Number of compositions of n into parts with distinct multiplicities and with exactly seven parts.at n=38A321777
- Numbers n such that N = n^3 is a twin rank (A002822: 6N +- 1 are twin primes).at n=33A326234
- Records in A333549.at n=29A333550
- Number of ways to write n as an ordered sum of 6 primes (counting 1 as a prime).at n=30A341985