6,462,246

2 × 3 × 7 × 251 × 613

Starting at 6,462,246, the Collatz iteration reaches 1 after 209 steps. The first transition is 3231123; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 251 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,853,888

Proper Divisor Sum 8,391,642

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6462233 ← → #6462251

Radix Representation

Decimal	6462246
Binary	11000101001101100100110 (23 bits)
Octal	0o30515446
Hexadecimal	0x629B26

Divisor Catalog (32)

1 2 3 6 7 14 21 42 251 502 613 753 1,226 1,506 1,757 1,839 3,514 3,678 4,291 5,271 8,582 10,542 12,873 25,746 153,863 307,726 461,589 923,178 1,077,041 2,154,082 3,231,123 6,462,246

Collatz Trajectory (209 steps to reach 1)

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

6,462,246 3,231,123 9,693,370 4,846,685 14,540,056 7,270,028 3,635,014 1,817,507 5,452,522 2,726,261 8,178,784 4,089,392 2,044,696 1,022,348 511,174 255,587 766,762 383,381 1,150,144 575,072 287,536 143,768 71,884 35,942 17,971 53,914 26,957 80,872 40,436 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006

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