5748
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 7692
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1912
- Möbius Function
- 0
- Radical
- 2874
- 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
- 54
- 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
- Convolution of partition numbers and Bell numbers.at n=8A014326
- Number of 5-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=5.at n=13A027560
- Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code.at n=24A030504
- a(n) = floor(n^3 / e).at n=25A032636
- Triangle of coefficients of generating function of 4-ary rooted trees of height at most n.at n=50A036606
- Number of 4-ary rooted trees with n nodes and height at most 4.at n=19A036609
- Number of partitions satisfying cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5).at n=32A039838
- Areas of a sequence of right-angled figures described below.at n=14A058195
- Even numbers such that all a(i) + a(j) are distinct.at n=41A080432
- Sum(sum(binomial(i,j),i=n..2*n),j=0..n).at n=6A085812
- Number of partitions of 2n prime to 3 with all odd parts occurring with multiplicity 2. The even parts occur with multiplicity 1.at n=51A103260
- Number of partitions of n into parts but with two kinds of parts of sizes 1 to 10.at n=16A103929
- Longest sequence of n-digit n-almost primes formed by beginning with a single-digit prime and appending a single decimal digit to each previous term.at n=3A107339
- a(1)=7; a(n)=floor((35+sum(a(1) to a(n-1)))/5).at n=37A120175
- Generator for the finite sequence A038178.at n=13A135480
- a(1)=1. a(n) = a(n-1) + (sum of the distinct primes that are <= n and don't divide a(n-1)).at n=49A137395
- a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^4 if n is even.at n=7A140150
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=7A150331
- Partial sums of A151791.at n=26A151792
- a(n) = 4*n^2 + 24*n + 8.at n=34A153642