6,306,848

2⁵ × 197089

Starting at 6,306,848, the Collatz iteration reaches 1 after 165 steps. The first transition is 3153424; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 197089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,416,670

Proper Divisor Sum 6,109,822

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6306829 ← → #6306863

Radix Representation

Decimal	6306848
Binary	11000000011110000100000 (23 bits)
Octal	0o30036040
Hexadecimal	0x603C20

Divisor Catalog (12)

1 2 4 8 16 32 197,089 394,178 788,356 1,576,712 3,153,424 6,306,848

Collatz Trajectory (165 steps to reach 1)

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

6,306,848 3,153,424 1,576,712 788,356 394,178 197,089 591,268 295,634 147,817 443,452 221,726 110,863 332,590 166,295 498,886 249,443 748,330 374,165 1,122,496 561,248 280,624 140,312 70,156 35,078 17,539 52,618 26,309 78,928 39,464 19,732 9,866 4,933 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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