5612
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 4804
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 2806
- 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
- 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
- 129
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code DDR.at n=47A008073
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=22A024173
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=31A033568
- Denominators of continued fraction convergents to sqrt(109).at n=8A041197
- Sequence of sums based on primes = 7 mod 8.at n=18A060108
- Numbers k such that A065608(k) is a square.at n=46A065063
- Numbers k such that k!!!! + 1 is prime.at n=19A085146
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=10A090789
- Even numbers n such that N(n) is divisible by a nontrivial square, say m^2 with gcd(n,m) = 1, where N(n) is the numerator of the Bernoulli number B(n). The smallest numbers m are given in A094095.at n=9A090943
- (Prime(prime(n))^2-1)/24.at n=19A092772
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 51.at n=2A093251
- Dropping first and last digit of n leaves its largest prime factor.at n=28A114565
- a(n) = 10 + floor( (1 + Sum_{j=1..n-1} a(j) )/3 ).at n=22A120155
- a(1)=1. a(n) = a(n-1) + (sum of the earlier terms {among terms a(1) through a(n-1)} which are coprime to n).at n=10A127075
- Number of distinct characteristic polynomials of n X n real robust {0,1}-matrices.at n=4A127182
- Elias omega coded prime numbers represented in decimal.at n=16A147764
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=23A152997
- The sum of all odd numbers from 2*n-1 to prime(n).at n=38A163637
- Number of binary strings of length n with no substrings equal to 0001 0011 or 1100.at n=12A164459
- a(n) is the smallest number not already in the sequence, such that the concatenation of all a(n) displays the periodic digit string 1, 2, 3, 4, 5, 6 (and repeat).at n=17A165304