3,685,068

2² × 3³ × 149 × 229

Starting at 3,685,068, the Collatz iteration reaches 1 after 79 steps. The first transition is 1842534; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 149 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,660,000

Proper Divisor Sum 5,974,932

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3685051 ← → #3685111

Radix Representation

Decimal	3685068
Binary	1110000011101011001100 (22 bits)
Octal	0o16035314
Hexadecimal	0x383ACC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 149 229 298 447 458 596 687 894 916 1,341 1,374 1,788 2,061 2,682 2,748 4,023 4,122 5,364 6,183 8,046 8,244 12,366 16,092 24,732 34,121 68,242 102,363 136,484 204,726 307,089 409,452 614,178 921,267 1,228,356 1,842,534 3,685,068

Collatz Trajectory (79 steps to reach 1)

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

3,685,068 1,842,534 921,267 2,763,802 1,381,901 4,145,704 2,072,852 1,036,426 518,213 1,554,640 777,320 388,660 194,330 97,165 291,496 145,748 72,874 36,437 109,312 54,656 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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