10731
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
- 12
- Divisor Sum
- 16872
- Proper Divisor Sum (Aliquot Sum)
- 6141
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 1533
- 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
- yes
- 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
- 47
- 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
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=26A024173
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=46A027634
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=33A031898
- a(n) = (2*n-1)*(4*n-1).at n=37A033567
- Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1.at n=51A035939
- Composite numbers with four prime factors (not necessarily distinct) whose concatenation yields a palindrome.at n=9A046453
- Triangular numbers of the form 21*k.at n=27A069499
- Triangular numbers with property that swapping first and last digits also gives a triangular number.at n=31A069708
- Triangular numbers which are 4-almost primes.at n=39A076578
- Dropping first and last digit of n leaves its largest prime factor.at n=38A114565
- Triangular numbers for which the sum of the digits is a pentagonal number.at n=17A117305
- Numbers which are both lucky and triangular.at n=28A118565
- Number of base 9 circular n-digit numbers with adjacent digits differing by 2 or less.at n=6A124851
- Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime.at n=18A126655
- Triangular numbers t which are average of two consecutive primes p and p+4.at n=15A129752
- Triangular numbers which are the average of two consecutive primes.at n=30A130178
- a(n) = n*(Fibonacci(n) - 1) + Fibonacci(n + 2) - 1.at n=14A131412
- Triangular numbers n*(n+1)/2 with n composite, where number of prime factors of n, counted with multiplicity, is less than the number of prime factors in n+1.at n=25A144524
- Triangle, read by rows, T(n, k) = binomial(n*binomial(n, k), k).at n=30A157108
- Triangle, read by rows, T(n, k) = binomial(n*binomial(n, floor((n-k)/2)), k).at n=30A157109