Properties of the Number 97903

Ninety-Seven Thousand Nine Hundred Three

Basics

Value: 97902 → 97903 → 97904

Parity: odd

Prime: No

Previous Prime: 97883

Next Prime: 97919

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 13 × 17 × 443

Divisors: 1, 13, 17, 221, 443, 5759, 7531, 97903

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001101111

Octal: 277157

Duodecimal: 487A7

Hexadecimal: 17e6f

Square: 9584997409

Square Root: 312.8945509273052

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

Primitive numbers in A229307. A229311

G.f.: exp( ∑_n>=1 A163659(n³)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A237646

G.f. satisfies: A(x) = (1 + x + x²)⁷ * A(x²)⁴. A237647

a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=3, a(1)=11. A22410

Triangular numbers with sum of digits = 28. A68132

Concatenation of triangular number k and its 10's complement is prime. A108970

Numbers k such that σ(k)² is divisible by k-1. A344347

G.f. satisfies: A(x) = (1 + x + x²) * A(x²)⁴. A237648

Multiplication table of the digits of the square root of 3 read by antidiagonals. A97903