Properties of the Number 2457

Two Thousand Four Hundred Fifty-Seven

Basics

Value: 2456 → 2457 → 2458

Parity: odd

Prime: No

Previous Prime: 2447

Next Prime: 2459

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 13

Divisors: 1, 3, 7, 9, 13, 21, 27, 39, 63, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110011001

Octal: 4631

Duodecimal: 1509

Hexadecimal: 999

Square: 6036849

Square Root: 49.56813492557492

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

Number of transitive rooted trees with n nodes. A290689

a(n) = 3·a(n-1) + 3·a(n-2), a(0)=0, a(1)=1. A30195

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.12.12 2D tiling (cf. A250122). A299257

Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

Numbers whose base-16 expansion has no run of digits with length < 2. A33029

Numbers whose binary expansion is properly periodic. A121016

a(n) = 3·n*(n + 3)/2. A140091

a(n) is both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers. A59270

7 times triangular numbers: 7·n*(n+1)/2. A24966

Numbers k such that φ(k) is a perfect biquadrate. A78164