Properties of the Number 4953

Four Thousand Nine Hundred Fifty-Three

Basics

Value: 4952 → 4953 → 4954

Parity: odd

Prime: No

Previous Prime: 4951

Next Prime: 4957

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 127

Divisors: 1, 3, 13, 39, 127, 381, 1651, 4953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001101011001

Octal: 11531

Duodecimal: 2A49

Hexadecimal: 1359

Square: 24532209

Square Root: 70.37755323965163

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

Numbers that are the sum of 4 positive 6th powers. A3360

a(n) = ∑_k=1..n k·d(k) where d(k) is the number of divisors of k. A143127

3 times heptagonal numbers: a(n) = 3·n*(5·n-3)/2. A152773

G.f. A(x,y) satisfies: A( x - y·G(x,y), y) = x + (1-y)*G(x,y) such that G(x,y) = Integral A(x,y) dx, where the coefficients T(n,k) of xⁿ*y^k form a triangle read by rows n>=1, for k=0..n-1. A277410

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits. A262759

Sum of the partition parts of 3n into 3 parts. A235988

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222679

a(n) = n*(3·n + 10). A140678

Sum of the parts in the partitions of 4n into 4 parts with smallest part equal to 1 minus the number of these partitions. A239057

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order. A222378