763,647

3 × 457 × 557

Starting at 763,647, the Collatz iteration reaches 1 after 131 steps. The first transition is 2290942; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 457 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,022,256

Proper Divisor Sum 258,609

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #763627 ← → #763649

Radix Representation

Decimal	763647
Binary	10111010011011111111 (20 bits)
Octal	0o2723377
Hexadecimal	0xBA6FF

Divisor Catalog (8)

1 3 457 557 1,371 1,671 254,549 763,647

Collatz Trajectory (131 steps to reach 1)

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

763,647 2,290,942 1,145,471 3,436,414 1,718,207 5,154,622 2,577,311 7,731,934 3,865,967 11,597,902 5,798,951 17,396,854 8,698,427 26,095,282 13,047,641 39,142,924 19,571,462 9,785,731 29,357,194 14,678,597 44,035,792 22,017,896 11,008,948 5,504,474 2,752,237 8,256,712 4,128,356 2,064,178 1,032,089 3,096,268 1,548,134 774,067 2,322,202 1,161,101 3,483,304 1,741,652 870,826 435,413 1,306,240 653,120 326,560 163,280 81,640 40,820 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

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