6,867,144

2³ × 3² × 127 × 751

Starting at 6,867,144, the Collatz iteration reaches 1 after 160 steps. The first transition is 3433572; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 127 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,769,920

Proper Divisor Sum 11,902,776

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6867139 ← → #6867149

Radix Representation

Decimal	6867144
Binary	11010001100100011001000 (23 bits)
Octal	0o32144310
Hexadecimal	0x68C8C8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 751 762 1,016 1,143 1,502 1,524 2,253 2,286 3,004 3,048 4,506 4,572 6,008 6,759 9,012 9,144 13,518 18,024 27,036 54,072 95,377 190,754 286,131 381,508 572,262 763,016 858,393 1,144,524 1,716,786 2,289,048 3,433,572 6,867,144

Collatz Trajectory (160 steps to reach 1)

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

6,867,144 3,433,572 1,716,786 858,393 2,575,180 1,287,590 643,795 1,931,386 965,693 2,897,080 1,448,540 724,270 362,135 1,086,406 543,203 1,629,610 814,805 2,444,416 1,222,208 611,104 305,552 152,776 76,388 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576

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