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Properties of the Number 4857

Four Thousand Eight Hundred Fifty-Seven

Basics

Value: 4856 → 4857 → 4858

Parity: odd

Prime: No

Previous Prime: 4831

Next Prime: 4861

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1619

Divisors: 1, 3, 1619, 4857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001011111001

Octal: 11371

Duodecimal: 2989

Hexadecimal: 12f9

Square: 23590449

Square Root: 69.6921803361037

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Replace prime(k) with prime(2k) in the prime factorization of n. A353397
a(n) = ∑k∣n μ(k)*Catalan(n/k) (μ = Moebius function A008683). A2996
a(n) = a(n-1) + a(m) for n >= 4, where m = 2p+1 + 2 - n and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A50061
Number of distinct values taken by 4th derivative of xx^...x (with n x's and parentheses inserted in all possible ways) at x=1. A199205
T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,2,0,2 for x=0,1,2,3,4. A197648
T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301400
Number of compositions (ordered partitions) of n into heptagonal numbers (A000566). A322799
Numbers n such that the trajectory of n under the "3x+1" map reaches n+1. A70993
Number of partitions p of n such that if h = min(p), then h is an (h,1)-separator of p; see Comments. A239497
Number of compositions (ordered partitions) of n into octagonal numbers (A000567). A322800