Properties of the Number 4498

Four Thousand Four Hundred Ninety-Eight

Basics

Value: 4497 → 4498 → 4499

Parity: even

Prime: No

Previous Prime: 4493

Next Prime: 4507

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 173

Divisors: 1, 2, 13, 26, 173, 346, 2249, 4498

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110010010

Octal: 10622

Duodecimal: 272A

Hexadecimal: 1192

Square: 20232004

Square Root: 67.06713054842886

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

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 2, read by rows. A157273

Number of integer compositions of n with all distinct even-indexed parts and all distinct odd-indexed parts. A351018

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746

Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10. A135110

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 5 multiples of n-1, n-2, ..., 1, for n>=1. A113742

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2 or 3. A257062

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223933

a(1) = 0, a(2) = 1, and for n > 2, a(n) = 2·a(A252463(n)) + [n == 1 (mod 2)]*[J(3∣n) == 1], where J is the Jacobi-symbol. A292253