Properties of the Number 4167

Four Thousand One Hundred Sixty-Seven

Basics

Value: 4166 → 4167 → 4168

Parity: odd

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 463

Divisors: 1, 3, 9, 463, 1389, 4167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000111

Octal: 10107

Duodecimal: 24B3

Hexadecimal: 1047

Square: 17363889

Square Root: 64.55230437405004

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of plane partitions (or planar partitions) of n. A219

Numbers that are the sum of 9 positive 6th powers. A3365

Dispersion of A047221, (numbers >1 and congruent to 2 or 3 mod 5), by antidiagonals. A191729

Number of totally strong integer partitions of n. A316496

Weak Goodstein numbers: a(n) = g_n(n), where g_n(n) is the weak Goodstein function. A266202

Number of subsets of {1..n} containing n but not containing the sum of any two distinct elements. A364755

Numbers that have 8 terms in their Zeckendorf representation. A179248

Number of integer partitions of n such that it is possible to choose a different constant integer partition of each part. A387330

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241054

Number of ways to write n as an ordered sum of 9 nonzero triangular numbers. A340954