9,971,212

2² × 31 × 97 × 829

Starting at 9,971,212, the Collatz iteration reaches 1 after 176 steps. The first transition is 4985606; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 97 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,220,160

Proper Divisor Sum 8,248,948

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9971209 ← → #9971251

Radix Representation

Decimal	9971212
Binary	100110000010011000001100 (24 bits)
Octal	0o46023014
Hexadecimal	0x98260C

Divisor Catalog (24)

1 2 4 31 62 97 124 194 388 829 1,658 3,007 3,316 6,014 12,028 25,699 51,398 80,413 102,796 160,826 321,652 2,492,803 4,985,606 9,971,212

Collatz Trajectory (176 steps to reach 1)

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

9,971,212 4,985,606 2,492,803 7,478,410 3,739,205 11,217,616 5,608,808 2,804,404 1,402,202 701,101 2,103,304 1,051,652 525,826 262,913 788,740 394,370 197,185 591,556 295,778 147,889 443,668 221,834 110,917 332,752 166,376 83,188 41,594 20,797 62,392 31,196 15,598 7,799 23,398 11,699 35,098 17,549 52,648 26,324 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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