8,112,936

2³ × 3 × 13 × 26003

Starting at 8,112,936, the Collatz iteration reaches 1 after 85 steps. The first transition is 4056468; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 26003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,843,360

Proper Divisor Sum 13,730,424

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8112919 ← → #8112941

Radix Representation

Decimal	8112936
Binary	11110111100101100101000 (23 bits)
Octal	0o36745450
Hexadecimal	0x7BCB28

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 26,003 52,006 78,009 104,012 156,018 208,024 312,036 338,039 624,072 676,078 1,014,117 1,352,156 2,028,234 2,704,312 4,056,468 8,112,936

Collatz Trajectory (85 steps to reach 1)

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

8,112,936 4,056,468 2,028,234 1,014,117 3,042,352 1,521,176 760,588 380,294 190,147 570,442 285,221 855,664 427,832 213,916 106,958 53,479 160,438 80,219 240,658 120,329 360,988 180,494 90,247 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440 114,220 57,110 28,555 85,666 42,833 128,500 64,250 32,125 96,376 48,188 24,094 12,047 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430

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