4,237,785

3³ × 5 × 31391

Starting at 4,237,785, the Collatz iteration reaches 1 after 105 steps. The first transition is 12713356; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 31391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,534,080

Proper Divisor Sum 3,296,295

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4237781 ← → #4237787

Radix Representation

Decimal	4237785
Binary	10000001010100111011001 (23 bits)
Octal	0o20124731
Hexadecimal	0x40A9D9

Divisor Catalog (16)

1 3 5 9 15 27 45 135 31,391 94,173 156,955 282,519 470,865 847,557 1,412,595 4,237,785

Collatz Trajectory (105 steps to reach 1)

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

4,237,785 12,713,356 6,356,678 3,178,339 9,535,018 4,767,509 14,302,528 7,151,264 3,575,632 1,787,816 893,908 446,954 223,477 670,432 335,216 167,608 83,804 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749

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