7,577,449

11 × 367 × 1877

Starting at 7,577,449, the Collatz iteration reaches 1 after 155 steps. The first transition is 22732348; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 367 × 1877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,293,248

Proper Divisor Sum 715,799

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7577407 ← → #7577459

Radix Representation

Decimal	7577449
Binary	11100111001111101101001 (23 bits)
Octal	0o34717551
Hexadecimal	0x739F69

Divisor Catalog (8)

1 11 367 1,877 4,037 20,647 688,859 7,577,449

Collatz Trajectory (155 steps to reach 1)

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

7,577,449 22,732,348 11,366,174 5,683,087 17,049,262 8,524,631 25,573,894 12,786,947 38,360,842 19,180,421 57,541,264 28,770,632 14,385,316 7,192,658 3,596,329 10,788,988 5,394,494 2,697,247 8,091,742 4,045,871 12,137,614 6,068,807 18,206,422 9,103,211 27,309,634 13,654,817 40,964,452 20,482,226 10,241,113 30,723,340 15,361,670 7,680,835 23,042,506 11,521,253 34,563,760 17,281,880 8,640,940 4,320,470 2,160,235 6,480,706 3,240,353 9,721,060 4,860,530 2,430,265 7,290,796 3,645,398 1,822,699 5,468,098 2,734,049 8,202,148 4,101,074 2,050,537 6,151,612 3,075,806 1,537,903 4,613,710 2,306,855 6,920,566 3,460,283 10,380,850

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