6,741,376

2⁷ × 52667

Starting at 6,741,376, the Collatz iteration reaches 1 after 178 steps. The first transition is 3370688; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 52667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,430,340

Proper Divisor Sum 6,688,964

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6741373 ← → #6741419

Radix Representation

Decimal	6741376
Binary	11001101101110110000000 (23 bits)
Octal	0o31556600
Hexadecimal	0x66DD80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 52,667 105,334 210,668 421,336 842,672 1,685,344 3,370,688 6,741,376

Collatz Trajectory (178 steps to reach 1)

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

6,741,376 3,370,688 1,685,344 842,672 421,336 210,668 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199

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