670,760

2³ × 5 × 41 × 409

Starting at 670,760, the Collatz iteration reaches 1 after 92 steps. The first transition is 335380; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,549,800

Proper Divisor Sum 879,040

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #670739 ← → #670763

Radix Representation

Decimal	670760
Binary	10100011110000101000 (20 bits)
Octal	0o2436050
Hexadecimal	0xA3C28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 409 410 818 820 1,636 1,640 2,045 3,272 4,090 8,180 16,360 16,769 33,538 67,076 83,845 134,152 167,690 335,380 670,760

Collatz Trajectory (92 steps to reach 1)

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

670,760 335,380 167,690 83,845 251,536 125,768 62,884 31,442 15,721 47,164 23,582 11,791 35,374 17,687 53,062 26,531 79,594 39,797 119,392 59,696 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

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