3,672,599

7² × 241 × 311

Starting at 3,672,599, the Collatz iteration reaches 1 after 203 steps. The first transition is 11017798; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 241 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,303,728

Proper Divisor Sum 631,129

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3672593 ← → #3672611

Radix Representation

Decimal	3672599
Binary	1110000000101000010111 (22 bits)
Octal	0o16005027
Hexadecimal	0x380A17

Divisor Catalog (12)

1 7 49 241 311 1,687 2,177 11,809 15,239 74,951 524,657 3,672,599

Collatz Trajectory (203 steps to reach 1)

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

3,672,599 11,017,798 5,508,899 16,526,698 8,263,349 24,790,048 12,395,024 6,197,512 3,098,756 1,549,378 774,689 2,324,068 1,162,034 581,017 1,743,052 871,526 435,763 1,307,290 653,645 1,960,936 980,468 490,234 245,117 735,352 367,676 183,838 91,919 275,758 137,879 413,638 206,819 620,458 310,229 930,688 465,344 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786

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