Properties of the Number 9986

Nine Thousand Nine Hundred Eighty-Six

Basics

Value: 9985 → 9986 → 9987

Parity: even

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 4993

Divisors: 1, 2, 4993, 9986

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100000010

Octal: 23402

Duodecimal: 5942

Hexadecimal: 2702

Square: 99720196

Square Root: 99.92997548283498

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 times the digit 6 appears in the first 10ⁿ digits of Catalan's constant. A224775

Number of integer partitions of n with at least one pair of consecutive divisible parts. A328221

Number of partitions of n such that neither the number of parts having multiplicity >1 nor the number of distinct parts is a part. A241412

a(n) = smallest k such that the digit sum of 8k is n. A77495

Minimum number k for which the digital sum of k·n is 5·n. A147825

G.f. satisfies: A(x) = A(x²)² + x·A(x²)³. A174512

Sum of all proper divisors of all positive integers <= prime(n). A244576

Numbers k such that A380459(k) has no divisors of the form p^p, while A003415(k) has such a divisor or is 0. A380474

G.f.: ∑_n>=0 (1 + (1+x)ⁿ⁺¹)ⁿ * xⁿ. A326276

Regular triangle where T(n,k) is the number of non-isomorphic multiset partitions of k-element multiset partitions of multisets of size n. A330473