2,030,960

2⁴ × 5 × 53 × 479

Starting at 2,030,960, the Collatz iteration reaches 1 after 109 steps. The first transition is 1015480; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,821,120

Proper Divisor Sum 2,790,160

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2030953 ← → #2030981

Radix Representation

Decimal	2030960
Binary	111101111110101110000 (21 bits)
Octal	0o7576560
Hexadecimal	0x1EFD70

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 479 530 848 958 1,060 1,916 2,120 2,395 3,832 4,240 4,790 7,664 9,580 19,160 25,387 38,320 50,774 101,548 126,935 203,096 253,870 406,192 507,740 1,015,480 2,030,960

Collatz Trajectory (109 steps to reach 1)

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

2,030,960 1,015,480 507,740 253,870 126,935 380,806 190,403 571,210 285,605 856,816 428,408 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187 171,562 85,781 257,344 128,672 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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