5,777,093

7 × 17 × 43 × 1129

5,777,093 factors as 7 × 17 × 43 × 1129. Its 16 positive divisors give a proper-divisor sum of 1,382,587, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 7 × 17 × 43 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,159,680

Proper Divisor Sum 1,382,587

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5777089 ← → #5777111

Radix Representation

Decimal	5777093
Binary	10110000010011011000101 (23 bits)
Octal	0o26023305
Hexadecimal	0x5826C5

Divisor Catalog (16)

1 7 17 43 119 301 731 1,129 5,117 7,903 19,193 48,547 134,351 339,829 825,299 5,777,093

Collatz Trajectory (121 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,777,093 17,331,280 8,665,640 4,332,820 2,166,410 1,083,205 3,249,616 1,624,808 812,404 406,202 203,101 609,304 304,652 152,326 76,163 228,490 114,245 342,736 171,368 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019

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