6,732,735

3 × 5 × 31 × 14479

Starting at 6,732,735, the Collatz iteration reaches 1 after 209 steps. The first transition is 20198206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 14479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,120,640

Proper Divisor Sum 4,387,905

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6732709 ← → #6732751

Radix Representation

Decimal	6732735
Binary	11001101011101110111111 (23 bits)
Octal	0o31535677
Hexadecimal	0x66BBBF

Divisor Catalog (16)

1 3 5 15 31 93 155 465 14,479 43,437 72,395 217,185 448,849 1,346,547 2,244,245 6,732,735

Collatz Trajectory (209 steps to reach 1)

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

6,732,735 20,198,206 10,099,103 30,297,310 15,148,655 45,445,966 22,722,983 68,168,950 34,084,475 102,253,426 51,126,713 153,380,140 76,690,070 38,345,035 115,035,106 57,517,553 172,552,660 86,276,330 43,138,165 129,414,496 64,707,248 32,353,624 16,176,812 8,088,406 4,044,203 12,132,610 6,066,305 18,198,916 9,099,458 4,549,729 13,649,188 6,824,594 3,412,297 10,236,892 5,118,446 2,559,223 7,677,670 3,838,835 11,516,506 5,758,253 17,274,760 8,637,380 4,318,690 2,159,345 6,478,036 3,239,018 1,619,509 4,858,528 2,429,264 1,214,632 607,316 303,658 151,829 455,488 227,744 113,872 56,936 28,468 14,234 7,117

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