3,101,070

2 × 3 × 5 × 7 × 14767

Starting at 3,101,070, the Collatz iteration reaches 1 after 164 steps. The first transition is 1550535; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 14767

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,506,368

Proper Divisor Sum 5,405,298

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3101069 ← → #3101141

Radix Representation

Decimal	3101070
Binary	1011110101000110001110 (22 bits)
Octal	0o13650616
Hexadecimal	0x2F518E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 14,767 29,534 44,301 73,835 88,602 103,369 147,670 206,738 221,505 310,107 443,010 516,845 620,214 1,033,690 1,550,535 3,101,070

Collatz Trajectory (164 steps to reach 1)

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

3,101,070 1,550,535 4,651,606 2,325,803 6,977,410 3,488,705 10,466,116 5,233,058 2,616,529 7,849,588 3,924,794 1,962,397 5,887,192 2,943,596 1,471,798 735,899 2,207,698 1,103,849 3,311,548 1,655,774 827,887 2,483,662 1,241,831 3,725,494 1,862,747 5,588,242 2,794,121 8,382,364 4,191,182 2,095,591 6,286,774 3,143,387 9,430,162 4,715,081 14,145,244 7,072,622 3,536,311 10,608,934 5,304,467 15,913,402 7,956,701 23,870,104 11,935,052 5,967,526 2,983,763 8,951,290 4,475,645 13,426,936 6,713,468 3,356,734 1,678,367 5,035,102 2,517,551 7,552,654 3,776,327 11,328,982 5,664,491 16,993,474 8,496,737 25,490,212

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