Properties of the Number 27355

Twenty-Seven Thousand Three Hundred Fifty-Five

Basics

Value: 27354 → 27355 → 27356

Parity: odd

Prime: No

Previous Prime: 27337

Next Prime: 27361

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 5471

Divisors: 1, 5, 5471, 27355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011011011

Octal: 65333

Duodecimal: 139B7

Hexadecimal: 6adb

Square: 748296025

Square Root: 165.3934702459562

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

Absolute discriminants of complex quadratic fields with 3-class group of elementary abelian type (3,3) of rank 2. A242863

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3), 3-principalization type (4443), IPAD [(3,3,3)³, (3,9)], and Hilbert 3-class field tower of unknown length at least 3. A242873

Position of first occurrence of n in A072347. A272530

a(n) = 25·n²/2 - 11·n/2 + 1. A383465

Number of n X n arrays of squares of integers with every (n-2)X(n-2) subblock summing to 8. A159373

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 4). A35546

Number of n X n arrays of squares of integers with every 3X3 subblock summing to 8. A159208

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) whose second 3-class group is located on the sporadic part of the coclass graph G(3,2) outside of coclass trees. A247691

Triangular array T read by rows: T(n,k) = number of partitions into distinct odd parts, all >= k. A27355