9,957,388

2² × 7² × 101 × 503

Starting at 9,957,388, the Collatz iteration reaches 1 after 101 steps. The first transition is 4978694; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 101 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,511,792

Proper Divisor Sum 10,554,404

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #9957379 ← → #9957391

Radix Representation

Decimal	9957388
Binary	100101111111000000001100 (24 bits)
Octal	0o45770014
Hexadecimal	0x97F00C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 101 196 202 404 503 707 1,006 1,414 2,012 2,828 3,521 4,949 7,042 9,898 14,084 19,796 24,647 49,294 50,803 98,588 101,606 203,212 355,621 711,242 1,422,484 2,489,347 4,978,694 9,957,388

Collatz Trajectory (101 steps to reach 1)

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

9,957,388 4,978,694 2,489,347 7,468,042 3,734,021 11,202,064 5,601,032 2,800,516 1,400,258 700,129 2,100,388 1,050,194 525,097 1,575,292 787,646 393,823 1,181,470 590,735 1,772,206 886,103 2,658,310 1,329,155 3,987,466 1,993,733 5,981,200 2,990,600 1,495,300 747,650 373,825 1,121,476 560,738 280,369 841,108 420,554 210,277 630,832 315,416 157,708 78,854 39,427 118,282 59,141 177,424 88,712 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529

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