5,757,462

2 × 3² × 499 × 641

Starting at 5,757,462, the Collatz iteration reaches 1 after 126 steps. The first transition is 2878731; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 499 × 641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,519,000

Proper Divisor Sum 6,761,538

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5757449 ← → #5757467

Radix Representation

Decimal	5757462
Binary	10101111101101000010110 (23 bits)
Octal	0o25755026
Hexadecimal	0x57DA16

Divisor Catalog (24)

1 2 3 6 9 18 499 641 998 1,282 1,497 1,923 2,994 3,846 4,491 5,769 8,982 11,538 319,859 639,718 959,577 1,919,154 2,878,731 5,757,462

Collatz Trajectory (126 steps to reach 1)

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

5,757,462 2,878,731 8,636,194 4,318,097 12,954,292 6,477,146 3,238,573 9,715,720 4,857,860 2,428,930 1,214,465 3,643,396 1,821,698 910,849 2,732,548 1,366,274 683,137 2,049,412 1,024,706 512,353 1,537,060 768,530 384,265 1,152,796 576,398 288,199 864,598 432,299 1,296,898 648,449 1,945,348 972,674 486,337 1,459,012 729,506 364,753 1,094,260 547,130 273,565 820,696 410,348 205,174 102,587 307,762 153,881 461,644 230,822 115,411 346,234 173,117 519,352 259,676 129,838 64,919 194,758 97,379 292,138 146,069 438,208 219,104

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