Properties of the Number 4417

Four Thousand Four Hundred Seventeen

Basics

Value: 4416 → 4417 → 4418

Parity: odd

Prime: No

Previous Prime: 4409

Next Prime: 4421

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 631

Divisors: 1, 7, 631, 4417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000001

Octal: 10501

Duodecimal: 2681

Hexadecimal: 1141

Square: 19509889

Square Root: 66.46051459325304

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

a(n) = 2·n² - 1. A56220

Number of partitions of n with nonnegative rank. A64174

Centered 16-gonal numbers. A69129

Numbers that are the sum of 7 positive 6th powers. A3363

Number of partitions of n in which the greatest part is 8. A26814

Numbers obtained by reinterpreting base-2 representation of n in A001563-base (A276326): a(n) = ∑_k>=0 A030308(n,k)*A001563(k+1). A276091

Odd positive integers a(n) such that for every integer m == 3 (mod 4) there exists a unique representation of the form m = a(l) + 2·a(s), but there are no such representations for m == 1 (mod 4). A145818

Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 453". A246325

Total number of vertices in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A331782

Positive numbers whose product of digits is 7 times their sum. A62384