Properties of the Number 12177

Twelve Thousand One Hundred Seventy-Seven

Basics

Value: 12176 → 12177 → 12178

Parity: odd

Prime: No

Previous Prime: 12163

Next Prime: 12197

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 41

Divisors: 1, 3, 9, 11, 27, 33, 41, 99, 123, 297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110010001

Octal: 27621

Duodecimal: 7069

Hexadecimal: 2f91

Square: 148279329

Square Root: 110.34944494649713

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 read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

25-gonal numbers: a(n) = n*(23·n-21)/2. A255184

a(n) = T(n,n-4), array T as in A055807. A55809

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n⁵). A127761

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+287)² = y². A205644

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns. A221768

Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_k+1, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists. A110735

Values of k such that k² + (k+3)² is a square. A241976

Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n. A256532

Triangular array related to Motzkin triangle A026300. A84536