Properties of the Number 30601

Thirty Thousand Six Hundred One

Basics

Value: 30600 → 30601 → 30602

Parity: odd

Prime: No

Previous Prime: 30593

Next Prime: 30631

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 71 × 431

Divisors: 1, 71, 431, 30601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110001001

Octal: 73611

Duodecimal: 15861

Hexadecimal: 7789

Square: 936421201

Square Root: 174.93141513175956

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

Expansion of ∏_{k > 0} (1 + A005229(k)*x^k). A147880

Trajectory of 234 under the map x -> A230625(x). A287878

Number of 3-component Carmichael numbers C = (6M + 1)(12M + 1)(18M + 1) < 10ⁿ. A36060

a(n) = 34·n² + 1. A158586

Least nonsquare whose remainder modulo k² is a square for all 0 < k <= n. A81650

a(n) = 900·n + 1. A158407

a(n) = T(2n,n-4), T given by A026725. A26841

a(n)=(# 1's)-(# 0's) in first n terms of A030588. A30601

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254183

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297429