Properties of the Number 7289

Seven Thousand Two Hundred Eighty-Nine

Basics

Value: 7288 → 7289 → 7290

Parity: odd

Prime: No

Previous Prime: 7283

Next Prime: 7297

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 37 × 197

Divisors: 1, 37, 197, 7289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001111001

Octal: 16171

Duodecimal: 4275

Hexadecimal: 1c79

Square: 53129521

Square Root: 85.37564055396598

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

Composite and every divisor (except 1) contains the digit 7. A62676

Nearest integer to 100·1.1ⁿ. A204590

Sum of the fourth largest parts of the partitions of n into 10 squarefree parts. A326634

Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order. A331572

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically. A207858

Numbers k such that k⁸ == 1 (mod 9³). A56084

Sum over all partitions of n of the number of distinct parts i of multiplicity i+1. A276434

Numbers n such that the trajectory of n under the `3x+1' map reaches n - 1. A70991

G.f.: exp( ∑_n>=1 A005063(n)*xⁿ/n ), where A005063(n) = sum of squares of primes dividing n. A219224

Rectangular companion array to M(n,k), given in A239126, showing the end numbers N(n, k), k >= 1, for the Collatz operation (ud)ⁿ, n >= 1, ending in an odd number, read by antidiagonals. A239127