3,640,273

7 × 13 × 109 × 367

Starting at 3,640,273, the Collatz iteration reaches 1 after 265 steps. The first transition is 10920820; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 109 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,533,760

Proper Divisor Sum 893,487

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3640249 ← → #3640289

Radix Representation

Decimal	3640273
Binary	1101111000101111010001 (22 bits)
Octal	0o15705721
Hexadecimal	0x378BD1

Divisor Catalog (16)

1 7 13 91 109 367 763 1,417 2,569 4,771 9,919 33,397 40,003 280,021 520,039 3,640,273

Collatz Trajectory (265 steps to reach 1)

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

3,640,273 10,920,820 5,460,410 2,730,205 8,190,616 4,095,308 2,047,654 1,023,827 3,071,482 1,535,741 4,607,224 2,303,612 1,151,806 575,903 1,727,710 863,855 2,591,566 1,295,783 3,887,350 1,943,675 5,831,026 2,915,513 8,746,540 4,373,270 2,186,635 6,559,906 3,279,953 9,839,860 4,919,930 2,459,965 7,379,896 3,689,948 1,844,974 922,487 2,767,462 1,383,731 4,151,194 2,075,597 6,226,792 3,113,396 1,556,698 778,349 2,335,048 1,167,524 583,762 291,881 875,644 437,822 218,911 656,734 328,367 985,102 492,551 1,477,654 738,827 2,216,482 1,108,241 3,324,724 1,662,362 831,181

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