9,870,762

2 × 3 × 11 × 347 × 431

Starting at 9,870,762, the Collatz iteration reaches 1 after 132 steps. The first transition is 4935381; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 347 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,648,384

Proper Divisor Sum 11,777,622

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9870737 ← → #9870787

Radix Representation

Decimal	9870762
Binary	100101101001110110101010 (24 bits)
Octal	0o45516652
Hexadecimal	0x969DAA

Divisor Catalog (32)

1 2 3 6 11 22 33 66 347 431 694 862 1,041 1,293 2,082 2,586 3,817 4,741 7,634 9,482 11,451 14,223 22,902 28,446 149,557 299,114 448,671 897,342 1,645,127 3,290,254 4,935,381 9,870,762

Collatz Trajectory (132 steps to reach 1)

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

9,870,762 4,935,381 14,806,144 7,403,072 3,701,536 1,850,768 925,384 462,692 231,346 115,673 347,020 173,510 86,755 260,266 130,133 390,400 195,200 97,600 48,800 24,400 12,200 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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