9,856,007

7² × 71 × 2833

Starting at 9,856,007, the Collatz iteration reaches 1 after 163 steps. The first transition is 29568022; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 71 × 2833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,630,736

Proper Divisor Sum 1,774,729

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9855997 ← → #9856019

Radix Representation

Decimal	9856007
Binary	100101100110010000000111 (24 bits)
Octal	0o45462007
Hexadecimal	0x966407

Divisor Catalog (12)

1 7 49 71 497 2,833 3,479 19,831 138,817 201,143 1,408,001 9,856,007

Collatz Trajectory (163 steps to reach 1)

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

9,856,007 29,568,022 14,784,011 44,352,034 22,176,017 66,528,052 33,264,026 16,632,013 49,896,040 24,948,020 12,474,010 6,237,005 18,711,016 9,355,508 4,677,754 2,338,877 7,016,632 3,508,316 1,754,158 877,079 2,631,238 1,315,619 3,946,858 1,973,429 5,920,288 2,960,144 1,480,072 740,036 370,018 185,009 555,028 277,514 138,757 416,272 208,136 104,068 52,034 26,017 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421

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