731,676

2² × 3 × 11 × 23 × 241

Starting at 731,676, the Collatz iteration reaches 1 after 180 steps. The first transition is 365838; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 23 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,951,488

Proper Divisor Sum 1,219,812

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #731651 ← → #731681

Radix Representation

Decimal	731676
Binary	10110010101000011100 (20 bits)
Octal	0o2625034
Hexadecimal	0xB2A1C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 241 253 276 482 506 723 759 964 1,012 1,446 1,518 2,651 2,892 3,036 5,302 5,543 7,953 10,604 11,086 15,906 16,629 22,172 31,812 33,258 60,973 66,516 121,946 182,919 243,892 365,838 731,676

Collatz Trajectory (180 steps to reach 1)

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

731,676 365,838 182,919 548,758 274,379 823,138 411,569 1,234,708 617,354 308,677 926,032 463,016 231,508 115,754 57,877 173,632 86,816 43,408 21,704 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 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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