1,310,106

2 × 3 × 7 × 31193

Starting at 1,310,106, the Collatz iteration reaches 1 after 142 steps. The first transition is 655053; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,994,624

Proper Divisor Sum 1,684,518

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1310093 ← → #1310117

Radix Representation

Decimal	1310106
Binary	100111111110110011010 (21 bits)
Octal	0o4776632
Hexadecimal	0x13FD9A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 31,193 62,386 93,579 187,158 218,351 436,702 655,053 1,310,106

Collatz Trajectory (142 steps to reach 1)

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

1,310,106 655,053 1,965,160 982,580 491,290 245,645 736,936 368,468 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233

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