Properties of the Number 9145

Nine Thousand One Hundred Forty-Five

Basics

Value: 9144 → 9145 → 9146

Parity: odd

Prime: No

Previous Prime: 9137

Next Prime: 9151

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 31 × 59

Divisors: 1, 5, 31, 59, 155, 295, 1829, 9145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110111001

Octal: 21671

Duodecimal: 5361

Hexadecimal: 23b9

Square: 83631025

Square Root: 95.62949335848225

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

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n. A114169

Sum of the largest parts of the partitions of n into 9 squarefree parts. A326532

Non-balanced numbers in A015765. A74868

a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)). A262909

Triangle read by rows: T(m,n) is the label of the ending square of an (m,n)-leaper (a generalization of a chess knight) when it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A323750

a(n) = n*(19·n + 1)/2. A22277

Ulam's spiral (NNE spoke). A143861

Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have an increase at index k (1<=k<n). A56861

Triangle read by rows: T(n,k) (n,k>=0) = number of peakless Motzkin paths of length n having k valleys (i.e., (1,-1) followed by (1,1)) at level zero (can be easily translated into RNA secondary structure terminology). A110333