3,617,196

2² × 3 × 11 × 67 × 409

3,617,196 has the prime decomposition 2^2 × 3 × 11 × 67 × 409. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 67 × 409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,367,680

Proper Divisor Sum 5,750,484

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3617179 ← → #3617221

Radix Representation

Decimal	3617196
Binary	1101110011000110101100 (22 bits)
Octal	0o15630654
Hexadecimal	0x3731AC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 409 737 804 818 1,227 1,474 1,636 2,211 2,454 2,948 4,422 4,499 4,908 8,844 8,998 13,497 17,996 26,994 27,403 53,988 54,806 82,209 109,612 164,418 301,433 328,836 602,866 904,299 1,205,732 1,808,598 3,617,196

Collatz Trajectory (172 steps to reach 1)

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

3,617,196 1,808,598 904,299 2,712,898 1,356,449 4,069,348 2,034,674 1,017,337 3,052,012 1,526,006 763,003 2,289,010 1,144,505 3,433,516 1,716,758 858,379 2,575,138 1,287,569 3,862,708 1,931,354 965,677 2,897,032 1,448,516 724,258 362,129 1,086,388 543,194 271,597 814,792 407,396 203,698 101,849 305,548 152,774 76,387 229,162 114,581 343,744 171,872 85,936 42,968 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949

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