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Properties of the Number 8601

Eight Thousand Six Hundred One

Basics

Value: 8600 → 8601 → 8602

Parity: odd

Prime: No

Previous Prime: 8599

Next Prime: 8609

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 47 × 61

Divisors: 1, 3, 47, 61, 141, 183, 2867, 8601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000110011001

Octal: 20631

Duodecimal: 4B89

Hexadecimal: 2199

Square: 73977201

Square Root: 92.74157643689264

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 where the parts have the same median as the distinct parts. A360245
Number of days after Jan 01 1000 such that the date written in the ISO-8601-format YYYYMMDD is palindromic. A210883
Infinite square array read by antidiagonals: Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2,2k-2), m·Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1). A127080
Define an array by Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2, 2k-2), m·Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1). Sequence gives Q(0,n). A127137
Dates after Jan 01 1000 which are palindromic when they are written according to the ISO-8601-format YYYYMMDD. A210884
Numbers k such that k*(k+7) gives the concatenation of two numbers m and m+5. A116326
G.f.: 1 / (1 + 12·x*G(x)2 - 13·x*G(x)3) where G(x) = 1 + x·G(x)4 is the g.f. of A002293. A226761
Number T(n,k) of set partitions of [n] such that the maximal value of all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows. A287416
Diagonal of triangular spiral in A051682. A81268
Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood. A270164