5759
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6216
- Proper Divisor Sum (Aliquot Sum)
- 457
- 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
- 5304
- Möbius Function
- 1
- Radical
- 5759
- 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
- 111
- 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
- Sum of digits of n-th term in Look and Say sequence A005150.at n=28A004977
- Coordination sequence T3 for Zeolite Code NON.at n=46A008214
- a(n) = n*(17*n + 1)/2.at n=26A022275
- Convolution of natural numbers >= 2 and Fibonacci numbers.at n=14A023548
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=40A026048
- Numbers having period-2 6-digitized sequences.at n=14A031357
- Numbers each of whose runs of digits in base 12 has length 2.at n=43A033010
- Sum of remainders when n-th prime is divided by all preceding integers.at n=41A050482
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=25A055468
- Positions of non-crossing fixed-point-free involutions encoded by A014486 in A055089. Permutation of A064640.at n=19A064638
- Positions of non-crossing fixed-point-free involutions encoded by A014486 (after reflection) in A055089. Permutation of A064640.at n=13A064639
- Positions of non-crossing fixed-point-free involutions (encoded by A014486) in A055089, sorted to ascending order.at n=13A064640
- a(1) = 5, a(n+1) is the concatenation of a(n) and the next prime after a(n).at n=2A068003
- Sum of the remainders when the n-th triangular number is divided by all smaller triangular numbers > 1.at n=43A072524
- Smallest initial value k that reaches 1 in n steps when iterating the map m -> rad(m)-1, where rad(m) is the squarefree kernel of m (A007947).at n=18A075426
- Odd numbers n for which 13 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=17A112076
- One seventh of the sum of the first n primes, when an integer.at n=17A112272
- Sums of three consecutive heptagonal numbers.at n=27A129111
- a(1)=2. For n >= 2, a(n) = a(n-1) + 1 + (the largest prime among the first n-1 terms of the sequence {a(k)}).at n=14A133489
- Triangle read by rows: (A000012 * A136572 + A136572 * A000012) - A000012.at n=34A136573