4,331,640

2³ × 3 × 5 × 36097

Starting at 4,331,640, the Collatz iteration reaches 1 after 105 steps. The first transition is 2165820; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 36097

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,995,280

Proper Divisor Sum 8,663,640

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4331611 ← → #4331641

Radix Representation

Decimal	4331640
Binary	10000100001100001111000 (23 bits)
Octal	0o20414170
Hexadecimal	0x421878

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 36,097 72,194 108,291 144,388 180,485 216,582 288,776 360,970 433,164 541,455 721,940 866,328 1,082,910 1,443,880 2,165,820 4,331,640

Collatz Trajectory (105 steps to reach 1)

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

4,331,640 2,165,820 1,082,910 541,455 1,624,366 812,183 2,436,550 1,218,275 3,654,826 1,827,413 5,482,240 2,741,120 1,370,560 685,280 342,640 171,320 85,660 42,830 21,415 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764

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