6,909,192

2³ × 3³ × 29 × 1103

Starting at 6,909,192, the Collatz iteration reaches 1 after 222 steps. The first transition is 3454596; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 1103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,872,000

Proper Divisor Sum 12,962,808

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6909173 ← → #6909247

Radix Representation

Decimal	6909192
Binary	11010010110110100001000 (23 bits)
Octal	0o32266410
Hexadecimal	0x696D08

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1,044 1,103 1,566 2,088 2,206 3,132 3,309 4,412 6,264 6,618 8,824 9,927 13,236 19,854 26,472 29,781 31,987 39,708 59,562 63,974 79,416 95,961 119,124 127,948 191,922 238,248 255,896 287,883 383,844 575,766 767,688 863,649 1,151,532

Collatz Trajectory (222 steps to reach 1)

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

6,909,192 3,454,596 1,727,298 863,649 2,590,948 1,295,474 647,737 1,943,212 971,606 485,803 1,457,410 728,705 2,186,116 1,093,058 546,529 1,639,588 819,794 409,897 1,229,692 614,846 307,423 922,270 461,135 1,383,406 691,703 2,075,110 1,037,555 3,112,666 1,556,333 4,669,000 2,334,500 1,167,250 583,625 1,750,876 875,438 437,719 1,313,158 656,579 1,969,738 984,869 2,954,608 1,477,304 738,652 369,326 184,663 553,990 276,995 830,986 415,493 1,246,480 623,240 311,620 155,810 77,905 233,716 116,858 58,429 175,288 87,644 43,822

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