4,769,380

2² × 5 × 7 × 11 × 19 × 163

Starting at 4,769,380, the Collatz iteration reaches 1 after 162 steps. The first transition is 2384690; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 19 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,224,960

Proper Divisor Sum 8,455,580

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4769377 ← → #4769447

Radix Representation

Decimal	4769380
Binary	10010001100011001100100 (23 bits)
Octal	0o22143144
Hexadecimal	0x48C664

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 163 190 209 220 266 308 326 380 385 418 532 652 665 770 815 836 1,045 1,141 1,330 1,463 1,540 1,630 1,793 2,090 2,282 2,660 2,926 3,097 3,260 3,586 4,180 4,564 5,705 5,852 6,194 7,172

Collatz Trajectory (162 steps to reach 1)

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

4,769,380 2,384,690 1,192,345 3,577,036 1,788,518 894,259 2,682,778 1,341,389 4,024,168 2,012,084 1,006,042 503,021 1,509,064 754,532 377,266 188,633 565,900 282,950 141,475 424,426 212,213 636,640 318,320 159,160 79,580 39,790 19,895 59,686 29,843 89,530 44,765 134,296 67,148 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142

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