6,246,528

2⁷ × 3 × 16267

Starting at 6,246,528, the Collatz iteration reaches 1 after 77 steps. The first transition is 3123264; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 16267

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,593,360

Proper Divisor Sum 10,346,832

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6246523 ← → #6246533

Radix Representation

Decimal	6246528
Binary	10111110101000010000000 (23 bits)
Octal	0o27650200
Hexadecimal	0x5F5080

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 16,267 32,534 48,801 65,068 97,602 130,136 195,204 260,272 390,408 520,544 780,816 1,041,088 1,561,632 2,082,176 3,123,264 6,246,528

Collatz Trajectory (77 steps to reach 1)

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

6,246,528 3,123,264 1,561,632 780,816 390,408 195,204 97,602 48,801 146,404 73,202 36,601 109,804 54,902 27,451 82,354 41,177 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184

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