Properties of the Number 3606

Three Thousand Six Hundred Six

Basics

Value: 3605 → 3606 → 3607

Parity: even

Prime: No

Previous Prime: 3593

Next Prime: 3607

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 601

Divisors: 1, 2, 3, 6, 601, 1202, 1803, 3606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111000010110

Octal: 7026

Duodecimal: 2106

Hexadecimal: e16

Square: 13003236

Square Root: 60.049979184009715

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Number of strict integer partitions of n with integer median. A359907

First spoke of a hexagonal spiral. A56105

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

Number of distinct non-subset-sums of integer partitions of n. A365918

Number of integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing. A332745

Number of permutations of [1,2,...,n] with n-1 inversions. A707

Numbers k such that k³ divides 5^k² - 1. A177905

Square array read by descending antidiagonals: T(n, k) where column k is the expansion of 1/sqrt(1 - 2*(k+1)*x + ((k-1)*x)²). A307883

E.g.f. log(1 + x·exp(-x)). A9444