8,120,365

5 × 11 × 191 × 773

Starting at 8,120,365, the Collatz iteration reaches 1 after 124 steps. The first transition is 24361096; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 191 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,699,776

Proper Divisor Sum 2,579,411

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8120363 ← → #8120369

Radix Representation

Decimal	8120365
Binary	11110111110100000101101 (23 bits)
Octal	0o36764055
Hexadecimal	0x7BE82D

Divisor Catalog (16)

1 5 11 55 191 773 955 2,101 3,865 8,503 10,505 42,515 147,643 738,215 1,624,073 8,120,365

Collatz Trajectory (124 steps to reach 1)

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

8,120,365 24,361,096 12,180,548 6,090,274 3,045,137 9,135,412 4,567,706 2,283,853 6,851,560 3,425,780 1,712,890 856,445 2,569,336 1,284,668 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506

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