770,488

2³ × 19 × 37 × 137

Starting at 770,488, the Collatz iteration reaches 1 after 105 steps. The first transition is 385244; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 37 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,573,200

Proper Divisor Sum 802,712

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #770459 ← → #770503

Radix Representation

Decimal	770488
Binary	10111100000110111000 (20 bits)
Octal	0o2740670
Hexadecimal	0xBC1B8

Divisor Catalog (32)

1 2 4 8 19 37 38 74 76 137 148 152 274 296 548 703 1,096 1,406 2,603 2,812 5,069 5,206 5,624 10,138 10,412 20,276 20,824 40,552 96,311 192,622 385,244 770,488

Collatz Trajectory (105 steps to reach 1)

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

770,488 385,244 192,622 96,311 288,934 144,467 433,402 216,701 650,104 325,052 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324

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