Properties of the Number 9742

Nine Thousand Seven Hundred Forty-Two

Basics

Value: 9741 → 9742 → 9743

Parity: even

Prime: No

Previous Prime: 9739

Next Prime: 9743

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 4871

Divisors: 1, 2, 4871, 9742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000001110

Octal: 23016

Duodecimal: 577A

Hexadecimal: 260e

Square: 94906564

Square Root: 98.70157040290697

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 into parts > 1 whose product is a multiple of n. A379734

Number of partitions of n having no parts with multiplicity 9. A184644

Integers i > 1 for which there is no prime p such that i is a solution mod p of x⁴ = 2. A65903

Let T = ∑_{k >= 1} k^k-1*x^k be the g.f. for rooted labeled trees (A000169); sequence has g.f. T/(1-T). A88342

A002110(n)-(p[i]+p[i+1]+...+p[i+n-1]), where p[i] is the largest prime such that this is nonnegative. A196129

Number of rooted twice-partitions of n where the composite rooted partition is strict. A301750

Number of primitive (period n) step cyclic shifted sequence structures using a maximum of two different symbols. A56439

Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-3,-1,0,2}. A189594

G.f. satisfies: A(x) = 1/(1-x) - 1/(1-x·A(x)) + 1/(1-x·A(x)²). A196018

Solution of the complementary equation a(n) = a(n-2) + b(0) + b(1) + ... + b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A295055