6,629,735

5 × 7 × 189421

Starting at 6,629,735, the Collatz iteration reaches 1 after 191 steps. The first transition is 19889206; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 189421

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,092,256

Proper Divisor Sum 2,462,521

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6629731 ← → #6629737

Radix Representation

Decimal	6629735
Binary	11001010010100101100111 (23 bits)
Octal	0o31224547
Hexadecimal	0x652967

Divisor Catalog (8)

1 5 7 35 189,421 947,105 1,325,947 6,629,735

Collatz Trajectory (191 steps to reach 1)

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

6,629,735 19,889,206 9,944,603 29,833,810 14,916,905 44,750,716 22,375,358 11,187,679 33,563,038 16,781,519 50,344,558 25,172,279 75,516,838 37,758,419 113,275,258 56,637,629 169,912,888 84,956,444 42,478,222 21,239,111 63,717,334 31,858,667 95,576,002 47,788,001 143,364,004 71,682,002 35,841,001 107,523,004 53,761,502 26,880,751 80,642,254 40,321,127 120,963,382 60,481,691 181,445,074 90,722,537 272,167,612 136,083,806 68,041,903 204,125,710 102,062,855 306,188,566 153,094,283 459,282,850 229,641,425 688,924,276 344,462,138 172,231,069 516,693,208 258,346,604 129,173,302 64,586,651 193,759,954 96,879,977 290,639,932 145,319,966 72,659,983 217,979,950 108,989,975 326,969,926

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