Properties of the Number 9772

Nine Thousand Seven Hundred Seventy-Two

Basics

Value: 9771 → 9772 → 9773

Parity: even

Prime: No

Previous Prime: 9769

Next Prime: 9781

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 349

Divisors: 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000101100

Octal: 23054

Duodecimal: 57A4

Hexadecimal: 262c

Square: 95491984

Square Root: 98.85342685005918

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

Numbers n such that Bernoulli number B_n has denominator 870. A272185

Expansion of 1/(1 - ∑_k>=1 μ(k)²*x^k), where μ(k) is the Moebius function (A008683). A280194

Number of ways to split a strict integer partition of n into consecutive subsequences with weakly decreasing sums. A319794

T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1. A180813

Table of coefficients in the iterations of Euler's tree function (A000169), as read by antidiagonals. A274390

Number of unsensed 2-connected simple planar maps with n edges. A6407

Sum of the third largest parts of the partitions of n into 5 parts. A308825

Expansion of g.f.: (1+x²)*(1+2·x²)*(1+3·x²)/(1-4·x+6·x²-18·x³ +11·x⁴-22·x⁵+6·x⁶-6·x⁷). A123893

Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code. A30504

Number n such that the sum of its proper evil divisors (A001969) equals n. A230587