2,764,986

2 × 3 × 7 × 43 × 1531

Starting at 2,764,986, the Collatz iteration reaches 1 after 81 steps. The first transition is 1382493; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 43 × 1531

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,471,168

Proper Divisor Sum 3,706,182

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2764967 ← → #2765039

Radix Representation

Decimal	2764986
Binary	1010100011000010111010 (22 bits)
Octal	0o12430272
Hexadecimal	0x2A30BA

Divisor Catalog (32)

1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1,531 1,806 3,062 4,593 9,186 10,717 21,434 32,151 64,302 65,833 131,666 197,499 394,998 460,831 921,662 1,382,493 2,764,986

Collatz Trajectory (81 steps to reach 1)

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

2,764,986 1,382,493 4,147,480 2,073,740 1,036,870 518,435 1,555,306 777,653 2,332,960 1,166,480 583,240 291,620 145,810 72,905 218,716 109,358 54,679 164,038 82,019 246,058 123,029 369,088 184,544 92,272 46,136 23,068 11,534 5,767 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490

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