6,377,434

2 × 7 × 455531

Starting at 6,377,434, the Collatz iteration reaches 1 after 134 steps. The first transition is 3188717; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 455531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,932,768

Proper Divisor Sum 4,555,334

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6377411 ← → #6377447

Radix Representation

Decimal	6377434
Binary	11000010100111111011010 (23 bits)
Octal	0o30247732
Hexadecimal	0x614FDA

Divisor Catalog (8)

1 2 7 14 455,531 911,062 3,188,717 6,377,434

Collatz Trajectory (134 steps to reach 1)

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

6,377,434 3,188,717 9,566,152 4,783,076 2,391,538 1,195,769 3,587,308 1,793,654 896,827 2,690,482 1,345,241 4,035,724 2,017,862 1,008,931 3,026,794 1,513,397 4,540,192 2,270,096 1,135,048 567,524 283,762 141,881 425,644 212,822 106,411 319,234 159,617 478,852 239,426 119,713 359,140 179,570 89,785 269,356 134,678 67,339 202,018 101,009 303,028 151,514 75,757 227,272 113,636 56,818 28,409 85,228 42,614 21,307 63,922 31,961 95,884 47,942 23,971 71,914 35,957 107,872 53,936 26,968 13,484 6,742

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