2,049,570

2 × 3³ × 5 × 7591

Starting at 2,049,570, the Collatz iteration reaches 1 after 78 steps. The first transition is 1024785; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,466,240

Proper Divisor Sum 3,416,670

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2049569 ← → #2049577

Radix Representation

Decimal	2049570
Binary	111110100011000100010 (21 bits)
Octal	0o7643042
Hexadecimal	0x1F4622

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7,591 15,182 22,773 37,955 45,546 68,319 75,910 113,865 136,638 204,957 227,730 341,595 409,914 683,190 1,024,785 2,049,570

Collatz Trajectory (78 steps to reach 1)

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

2,049,570 1,024,785 3,074,356 1,537,178 768,589 2,305,768 1,152,884 576,442 288,221 864,664 432,332 216,166 108,083 324,250 162,125 486,376 243,188 121,594 60,797 182,392 91,196 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362

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