6,138,824

2³ × 19 × 40387

Starting at 6,138,824, the Collatz iteration reaches 1 after 196 steps. The first transition is 3069412; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 40387

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,116,400

Proper Divisor Sum 5,977,576

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6138823 ← → #6138827

Radix Representation

Decimal	6138824
Binary	10111011010101111001000 (23 bits)
Octal	0o27325710
Hexadecimal	0x5DABC8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 40,387 80,774 161,548 323,096 767,353 1,534,706 3,069,412 6,138,824

Collatz Trajectory (196 steps to reach 1)

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

6,138,824 3,069,412 1,534,706 767,353 2,302,060 1,151,030 575,515 1,726,546 863,273 2,589,820 1,294,910 647,455 1,942,366 971,183 2,913,550 1,456,775 4,370,326 2,185,163 6,555,490 3,277,745 9,833,236 4,916,618 2,458,309 7,374,928 3,687,464 1,843,732 921,866 460,933 1,382,800 691,400 345,700 172,850 86,425 259,276 129,638 64,819 194,458 97,229 291,688 145,844 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490

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