9,704,850

2 × 3 × 5² × 23 × 29 × 97

Starting at 9,704,850, the Collatz iteration reaches 1 after 101 steps. The first transition is 4852425; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 23 × 29 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,248,320

Proper Divisor Sum 16,543,470

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9704833 ← → #9704861

Radix Representation

Decimal	9704850
Binary	100101000001010110010010 (24 bits)
Octal	0o45012622
Hexadecimal	0x941592

Divisor Catalog (60 of 96)

1 2 3 5 6 10 15 23 25 29 30 46 50 58 69 75 87 97 115 138 145 150 174 194 230 290 291 345 435 485 575 582 667 690 725 870 970 1,150 1,334 1,450 1,455 1,725 2,001 2,175 2,231 2,425 2,813 2,910 3,335 3,450 4,002 4,350 4,462 4,850 5,626 6,670 6,693 7,275 8,439 10,005

Collatz Trajectory (101 steps to reach 1)

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

9,704,850 4,852,425 14,557,276 7,278,638 3,639,319 10,917,958 5,458,979 16,376,938 8,188,469 24,565,408 12,282,704 6,141,352 3,070,676 1,535,338 767,669 2,303,008 1,151,504 575,752 287,876 143,938 71,969 215,908 107,954 53,977 161,932 80,966 40,483 121,450 60,725 182,176 91,088 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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