2,580,032

2⁶ × 7 × 13 × 443

Starting at 2,580,032, the Collatz iteration reaches 1 after 130 steps. The first transition is 1290016; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 6,315,456

Proper Divisor Sum 3,735,424

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2580031 ← → #2580049

Radix Representation

Decimal	2580032
Binary	1001110101111001000000 (22 bits)
Octal	0o11657100
Hexadecimal	0x275E40

Divisor Catalog (56)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 443 448 728 832 886 1,456 1,772 2,912 3,101 3,544 5,759 5,824 6,202 7,088 11,518 12,404 14,176 23,036 24,808 28,352 40,313 46,072 49,616 80,626 92,144 99,232 161,252 184,288 198,464 322,504 368,576 645,008 1,290,016 2,580,032

Collatz Trajectory (130 steps to reach 1)

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

2,580,032 1,290,016 645,008 322,504 161,252 80,626 40,313 120,940 60,470 30,235 90,706 45,353 136,060 68,030 34,015 102,046 51,023 153,070 76,535 229,606 114,803 344,410 172,205 516,616 258,308 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976 54,488 27,244 13,622 6,811 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212

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