6,227,481

3 × 13² × 71 × 173

Starting at 6,227,481, the Collatz iteration reaches 1 after 196 steps. The first transition is 18682444; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 71 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,170,496

Proper Divisor Sum 2,943,015

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6227477 ← → #6227521

Radix Representation

Decimal	6227481
Binary	10111110000011000011001 (23 bits)
Octal	0o27603031
Hexadecimal	0x5F0619

Divisor Catalog (24)

1 3 13 39 71 169 173 213 507 519 923 2,249 2,769 6,747 11,999 12,283 29,237 35,997 36,849 87,711 159,679 479,037 2,075,827 6,227,481

Collatz Trajectory (196 steps to reach 1)

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

6,227,481 18,682,444 9,341,222 4,670,611 14,011,834 7,005,917 21,017,752 10,508,876 5,254,438 2,627,219 7,881,658 3,940,829 11,822,488 5,911,244 2,955,622 1,477,811 4,433,434 2,216,717 6,650,152 3,325,076 1,662,538 831,269 2,493,808 1,246,904 623,452 311,726 155,863 467,590 233,795 701,386 350,693 1,052,080 526,040 263,020 131,510 65,755 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500

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