731,570

2 × 5 × 7² × 1493

Starting at 731,570, the Collatz iteration reaches 1 after 180 steps. The first transition is 365785; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 1493

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,532,844

Proper Divisor Sum 801,274

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #731567 ← → #731587

Radix Representation

Decimal	731570
Binary	10110010100110110010 (20 bits)
Octal	0o2624662
Hexadecimal	0xB29B2

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 1,493 2,986 7,465 10,451 14,930 20,902 52,255 73,157 104,510 146,314 365,785 731,570

Collatz Trajectory (180 steps to reach 1)

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

731,570 365,785 1,097,356 548,678 274,339 823,018 411,509 1,234,528 617,264 308,632 154,316 77,158 38,579 115,738 57,869 173,608 86,804 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776

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