6,970,299

3 × 7² × 47417

Starting at 6,970,299, the Collatz iteration reaches 1 after 178 steps. The first transition is 20910898; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 47417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,811,304

Proper Divisor Sum 3,841,005

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6970297 ← → #6970303

Radix Representation

Decimal	6970299
Binary	11010100101101110111011 (23 bits)
Octal	0o32455673
Hexadecimal	0x6A5BBB

Divisor Catalog (12)

1 3 7 21 49 147 47,417 142,251 331,919 995,757 2,323,433 6,970,299

Collatz Trajectory (178 steps to reach 1)

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

6,970,299 20,910,898 10,455,449 31,366,348 15,683,174 7,841,587 23,524,762 11,762,381 35,287,144 17,643,572 8,821,786 4,410,893 13,232,680 6,616,340 3,308,170 1,654,085 4,962,256 2,481,128 1,240,564 620,282 310,141 930,424 465,212 232,606 116,303 348,910 174,455 523,366 261,683 785,050 392,525 1,177,576 588,788 294,394 147,197 441,592 220,796 110,398 55,199 165,598 82,799 248,398 124,199 372,598 186,299 558,898 279,449 838,348 419,174 209,587 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210

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