7,332,764

2² × 751 × 2441

Starting at 7,332,764, the Collatz iteration reaches 1 after 98 steps. The first transition is 3666382; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 751 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,854,688

Proper Divisor Sum 5,521,924

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7332751 ← → #7332779

Radix Representation

Decimal	7332764
Binary	11011111110001110011100 (23 bits)
Octal	0o33761634
Hexadecimal	0x6FE39C

Divisor Catalog (12)

1 2 4 751 1,502 2,441 3,004 4,882 9,764 1,833,191 3,666,382 7,332,764

Collatz Trajectory (98 steps to reach 1)

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

7,332,764 3,666,382 1,833,191 5,499,574 2,749,787 8,249,362 4,124,681 12,374,044 6,187,022 3,093,511 9,280,534 4,640,267 13,920,802 6,960,401 20,881,204 10,440,602 5,220,301 15,660,904 7,830,452 3,915,226 1,957,613 5,872,840 2,936,420 1,468,210 734,105 2,202,316 1,101,158 550,579 1,651,738 825,869 2,477,608 1,238,804 619,402 309,701 929,104 464,552 232,276 116,138 58,069 174,208 87,104 43,552 21,776 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295

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