Properties of the Number 35641

Thirty-Five Thousand Six Hundred Forty-One

Basics

Value: 35640 → 35641 → 35642

Parity: odd

Prime: No

Previous Prime: 35617

Next Prime: 35671

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 29 × 1229

Divisors: 1, 29, 1229, 35641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101100111001

Octal: 105471

Duodecimal: 18761

Hexadecimal: 8b39

Square: 1270280881

Square Root: 188.7882411592417

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 4-packed words of degree n. A243665

Numbers n such that n and n⁴ have the same set of digits. A232659

E.g.f. S(x) satisfies: C(x)² - S(x)² = 1 and D(x)⁴ - S(x)⁴ = 1, where functions C(x) and D(x) are described by A280626 and A280627, respectively. A280625

E.g.f. C(x) + S(x), such that: C(x)² - S(x)² = 1 and D(x)⁴ - S(x)⁴ = 1, where functions S(x), C(x), and D(x) are described by A280625, A280626, and A280627, respectively. A280628

Number of m-shape ordered set partitions, square array read by ascending antidiagonals, A(m, n) for m, n >= 0. A260883

Number of Dyck paths of semilength n having exactly 10 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)). A243880

a(n) = 70·binomial(n,8) + 2·binomial(n,4) + 1. A341705

Least positive k (not a power of 10) such that k and kⁿ have the same set of digits. A232712

E.g.f. C(x) satisfies: C(x)² - S(x)² = 1 and D(x)⁴ - S(x)⁴ = 1, where functions S(x) and D(x) are described by A280625 and A280627, respectively. A280626

E.g.f. D(x) satisfies: C(x)² - S(x)² = 1 and D(x)⁴ - S(x)⁴ = 1, where functions S(x) and C(x) are described by A280625 and A280626, respectively. A280627