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Properties of the Number 4497

Four Thousand Four Hundred Ninety-Seven

Basics

Value: 4496 → 4497 → 4498

Parity: odd

Prime: No

Previous Prime: 4493

Next Prime: 4507

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1499

Divisors: 1, 3, 1499, 4497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000110010001

Octal: 10621

Duodecimal: 2729

Hexadecimal: 1191

Square: 20223009

Square Root: 67.05967491719595

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 integer partitions of n such that it is not possible to choose a different prime factor of each part. A370593
Number of 2 X 2 singular integer matrices with elements from {0,...,n}. A59306
Compound filter: a(n) = T(A000010(n), A046523(n)), where T(n,k) is sequence A000027 used as a pairing function. A286160
T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 1,0 0,-1 1,2 or -1,1. A264583
Compound filter: a(n) = T(A032742(n), A046523(n)), where T(n,k) is sequence A000027 used as a pairing function. A285729
Numbers that are the sum of seven fourth powers in three or more ways. A345569
Numbers that are the sum of seven fourth powers in exactly three ways. A345825
Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment. A117625
a(n) = (1/2)*(2 + ((A003557(n)+A046523(n))2) - A003557(n) - 3·A046523(n)). A291757
Positive integers not congruent to 0 or 2 modulo 8 which cannot be written as x2 + y2 + z2 + w2 with x + 2·y + 3·z a positive power of 4, where x, y, z, w are nonnegative integers. A338103