10347
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13800
- Proper Divisor Sum (Aliquot Sum)
- 3453
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6896
- Möbius Function
- 1
- Radical
- 10347
- Omega Function (Ω)
- 2
- 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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 Greek-key tours on a 4 X n board; i.e., self-avoiding walks on 4 X n grid starting in top left corner.at n=8A046995
- a(1) = 1, a(2) = 2; then a(n) = smallest number such that there are a(n-1) composite numbers between a(n) and a(n+1) exclusive.at n=16A082281
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=38A108720
- Numbers k that divide the sum of the digits of k^k.at n=16A108827
- Positive integers that are the difference between two double factorials.at n=48A111300
- Number of complete partitions of n.at n=35A126796
- Potential magic constants of 7 X 7 magic squares composed of consecutive primes.at n=28A188536
- Semiprimes which have one or more occurrences of exactly five different digits.at n=11A235693
- Five-digit odd semiprimes with all digits distinct.at n=8A247948
- Numbers that are the sum of seven fifth powers in two or more ways.at n=14A345605
- Numbers that are the sum of seven fifth powers in exactly two ways.at n=14A346279
- a(n) is the first positive number that has exactly n anagrams which have 3 prime divisors, counted by multiplicity, or 0 if there is no such number.at n=27A369184
- Maximum coefficient of (1 - x)^3 * (1 - x^2)^3 * (1 - x^3)^3 * ... * (1 - x^n)^3.at n=14A369711
- Array read by upward antidiagonals: A(n, k) = A265745(A372560(n, k)) for n > 1, k >= 1.at n=78A372561