3,673,329

3 × 11 × 157 × 709

3,673,329 factors as 3 × 11 × 157 × 709. Its 16 positive divisors give a proper-divisor sum of 1,711,311, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 11 × 157 × 709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,384,640

Proper Divisor Sum 1,711,311

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3673279 ← → #3673337

Radix Representation

Decimal	3673329
Binary	1110000000110011110001 (22 bits)
Octal	0o16006361
Hexadecimal	0x380CF1

Divisor Catalog (16)

1 3 11 33 157 471 709 1,727 2,127 5,181 7,799 23,397 111,313 333,939 1,224,443 3,673,329

Collatz Trajectory (172 steps to reach 1)

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

3,673,329 11,019,988 5,509,994 2,754,997 8,264,992 4,132,496 2,066,248 1,033,124 516,562 258,281 774,844 387,422 193,711 581,134 290,567 871,702 435,851 1,307,554 653,777 1,961,332 980,666 490,333 1,471,000 735,500 367,750 183,875 551,626 275,813 827,440 413,720 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308

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