4,051,762

2 × 11 × 13 × 31 × 457

Starting at 4,051,762, the Collatz iteration reaches 1 after 84 steps. The first transition is 2025881; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 31 × 457

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,386,624

Proper Divisor Sum 3,334,862

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4051753 ← → #4051781

Radix Representation

Decimal	4051762
Binary	1111011101001100110010 (22 bits)
Octal	0o17351462
Hexadecimal	0x3DD332

Divisor Catalog (32)

1 2 11 13 22 26 31 62 143 286 341 403 457 682 806 914 4,433 5,027 5,941 8,866 10,054 11,882 14,167 28,334 65,351 130,702 155,837 184,171 311,674 368,342 2,025,881 4,051,762

Collatz Trajectory (84 steps to reach 1)

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

4,051,762 2,025,881 6,077,644 3,038,822 1,519,411 4,558,234 2,279,117 6,837,352 3,418,676 1,709,338 854,669 2,564,008 1,282,004 641,002 320,501 961,504 480,752 240,376 120,188 60,094 30,047 90,142 45,071 135,214 67,607 202,822 101,411 304,234 152,117 456,352 228,176 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

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