Properties of the Number 4046

Four Thousand Forty-Six

Basics

Value: 4045 → 4046 → 4047

Parity: even

Prime: No

Previous Prime: 4027

Next Prime: 4049

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 17 ²

Divisors: 1, 2, 7, 14, 17, 34, 119, 238, 289, 578

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111001110

Octal: 7716

Duodecimal: 2412

Hexadecimal: fce

Square: 16370116

Square Root: 63.608175575157006

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

a(n) = ceiling((∑_k=1..n-1 a(k)) / 2) for n >= 2 starting with a(1) = 1. A73941

a(n) = ceiling((1 + sum of preceding terms) / 2) starting with a(0) = 1. A5428

'Eban' numbers (the letter 'e' is banned!). A6933

a(n) = 14·n². A144555

Concentric 14-gonal numbers. A195145

Positive integers n such that n¹⁰ + 1 is semiprime. A105078

Number of irreducible ways to split 1, 2, 3, ..., 3n into n arithmetic progressions each with 3 terms. A202705

Number of ways to write n as an ordered sum of 7 nonzero triangular numbers. A340952

a(n) = number of steps to reach 0 when starting from k = n³ and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261227

Positions of 5 in A274640. A275190