6,148,638

2 × 3² × 29 × 11779

Starting at 6,148,638, the Collatz iteration reaches 1 after 258 steps. The first transition is 3074319; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 11779

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,782,600

Proper Divisor Sum 7,633,962

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6148631 ← → #6148643

Radix Representation

Decimal	6148638
Binary	10111011101001000011110 (23 bits)
Octal	0o27351036
Hexadecimal	0x5DD21E

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 11,779 23,558 35,337 70,674 106,011 212,022 341,591 683,182 1,024,773 2,049,546 3,074,319 6,148,638

Collatz Trajectory (258 steps to reach 1)

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

6,148,638 3,074,319 9,222,958 4,611,479 13,834,438 6,917,219 20,751,658 10,375,829 31,127,488 15,563,744 7,781,872 3,890,936 1,945,468 972,734 486,367 1,459,102 729,551 2,188,654 1,094,327 3,282,982 1,641,491 4,924,474 2,462,237 7,386,712 3,693,356 1,846,678 923,339 2,770,018 1,385,009 4,155,028 2,077,514 1,038,757 3,116,272 1,558,136 779,068 389,534 194,767 584,302 292,151 876,454 438,227 1,314,682 657,341 1,972,024 986,012 493,006 246,503 739,510 369,755 1,109,266 554,633 1,663,900 831,950 415,975 1,247,926 623,963 1,871,890 935,945 2,807,836 1,403,918

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