6,627,944

2³ × 331 × 2503

Starting at 6,627,944, the Collatz iteration reaches 1 after 240 steps. The first transition is 3313972; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 331 × 2503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,469,920

Proper Divisor Sum 5,841,976

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6627917 ← → #6627949

Radix Representation

Decimal	6627944
Binary	11001010010001001101000 (23 bits)
Octal	0o31221150
Hexadecimal	0x652268

Divisor Catalog (16)

1 2 4 8 331 662 1,324 2,503 2,648 5,006 10,012 20,024 828,493 1,656,986 3,313,972 6,627,944

Collatz Trajectory (240 steps to reach 1)

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

6,627,944 3,313,972 1,656,986 828,493 2,485,480 1,242,740 621,370 310,685 932,056 466,028 233,014 116,507 349,522 174,761 524,284 262,142 131,071 393,214 196,607 589,822 294,911 884,734 442,367 1,327,102 663,551 1,990,654 995,327 2,985,982 1,492,991 4,478,974 2,239,487 6,718,462 3,359,231 10,077,694 5,038,847 15,116,542 7,558,271 22,674,814 11,337,407 34,012,222 17,006,111 51,018,334 25,509,167 76,527,502 38,263,751 114,791,254 57,395,627 172,186,882 86,093,441 258,280,324 129,140,162 64,570,081 193,710,244 96,855,122 48,427,561 145,282,684 72,641,342 36,320,671 108,962,014 54,481,007

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