5,773,920

2⁵ × 3 × 5 × 23 × 523

5,773,920 factors as 2^5 × 3 × 5 × 23 × 523. Its 96 positive divisors give a proper-divisor sum of 13,240,992, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 23 × 523

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,014,912

Proper Divisor Sum 13,240,992

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5773919 ← → #5773939

Radix Representation

Decimal	5773920
Binary	10110000001101001100000 (23 bits)
Octal	0o26015140
Hexadecimal	0x581A60

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 523 552 690 736 920 1,046 1,104 1,380 1,569 1,840 2,092 2,208 2,615 2,760 3,138 3,680 4,184 5,230 5,520 6,276 7,845 8,368 10,460 11,040

Collatz Trajectory (77 steps to reach 1)

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

5,773,920 2,886,960 1,443,480 721,740 360,870 180,435 541,306 270,653 811,960 405,980 202,990 101,495 304,486 152,243 456,730 228,365 685,096 342,548 171,274 85,637 256,912 128,456 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29

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