Properties of the Number 10146

Ten Thousand One Hundred Forty-Six

Basics

Value: 10145 → 10146 → 10147

Parity: even

Prime: No

Previous Prime: 10141

Next Prime: 10151

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 19 × 89

Divisors: 1, 2, 3, 6, 19, 38, 57, 89, 114, 178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110100010

Octal: 23642

Duodecimal: 5A56

Hexadecimal: 27a2

Square: 102941316

Square Root: 100.72735477515529

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

Sum of the largest parts of the partitions of n into 8 squarefree parts. A326452

Expansion of g.f. (1 + x + 2·x²)/((1 - x)³*(1 - x³)). A92498

a(n) is the number of integer partitions of n for which the greatest part minus the least part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318176

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k pyramids (a pyramid is a sequence u^pd^p or U^pd^2p for some positive integer p, starting at the x-axis). A108445

G.f. satisfies: 2·A(x) = 1 + x + A(x·A(x)³). A242005

Terms k of A249667 such that k-A151799(k) = A151800(k)-k. A249676

a(n) = 121·n² - 204·n + 86. A157440

Principal diagonal of the convolution array A213822. A213823

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100. A31598

a(n) = 7·n² + n. A92277