6,724,540

2² × 5 × 336227

Starting at 6,724,540, the Collatz iteration reaches 1 after 253 steps. The first transition is 3362270; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 336227

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,121,576

Proper Divisor Sum 7,397,036

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6724511 ← → #6724583

Radix Representation

Decimal	6724540
Binary	11001101001101110111100 (23 bits)
Octal	0o31515674
Hexadecimal	0x669BBC

Divisor Catalog (12)

1 2 4 5 10 20 336,227 672,454 1,344,908 1,681,135 3,362,270 6,724,540

Collatz Trajectory (253 steps to reach 1)

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

6,724,540 3,362,270 1,681,135 5,043,406 2,521,703 7,565,110 3,782,555 11,347,666 5,673,833 17,021,500 8,510,750 4,255,375 12,766,126 6,383,063 19,149,190 9,574,595 28,723,786 14,361,893 43,085,680 21,542,840 10,771,420 5,385,710 2,692,855 8,078,566 4,039,283 12,117,850 6,058,925 18,176,776 9,088,388 4,544,194 2,272,097 6,816,292 3,408,146 1,704,073 5,112,220 2,556,110 1,278,055 3,834,166 1,917,083 5,751,250 2,875,625 8,626,876 4,313,438 2,156,719 6,470,158 3,235,079 9,705,238 4,852,619 14,557,858 7,278,929 21,836,788 10,918,394 5,459,197 16,377,592 8,188,796 4,094,398 2,047,199 6,141,598 3,070,799 9,212,398

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