Properties of the Number 4161

Four Thousand One Hundred Sixty-One

Basics

Value: 4160 → 4161 → 4162

Parity: odd

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 73

Divisors: 1, 3, 19, 57, 73, 219, 1387, 4161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000001

Octal: 10101

Duodecimal: 24A9

Hexadecimal: 1041

Square: 17313921

Square Root: 64.50581369148055

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) = 1ⁿ + 2ⁿ + 4ⁿ. A1576

a(n) = sigma₆(n), the sum of the 6th powers of the divisors of n. A13954

a(n) = 4·n² - 6·n + 3. A54569

a(n) = (64ⁿ - 1)/63. A133853

Numbers that are the sum of 3 nonzero 6th powers. A3359

Generalized 24-gonal (or icositetragonal) numbers: m*(11·m - 10) with m = 0, +1, -1, +2, -2, +3, -3, ... A303814

Array read by downwards antidiagonals: sigma_k(n) for n >= 1, k >= 0. A109974

Number of integer partitions of n of even length whose greatest multiplicity is at most half their length. A338914

Base 10 numbers that are palindromic in bases 2 and 4. A97856

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (same as A160410, but a(1) = 1, not 4). A160414