4,099,644

2² × 3² × 263 × 433

Starting at 4,099,644, the Collatz iteration reaches 1 after 260 steps. The first transition is 2049822; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 263 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,426,416

Proper Divisor Sum 6,326,772

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4099621 ← → #4099661

Radix Representation

Decimal	4099644
Binary	1111101000111000111100 (22 bits)
Octal	0o17507074
Hexadecimal	0x3E8E3C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 263 433 526 789 866 1,052 1,299 1,578 1,732 2,367 2,598 3,156 3,897 4,734 5,196 7,794 9,468 15,588 113,879 227,758 341,637 455,516 683,274 1,024,911 1,366,548 2,049,822 4,099,644

Collatz Trajectory (260 steps to reach 1)

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

4,099,644 2,049,822 1,024,911 3,074,734 1,537,367 4,612,102 2,306,051 6,918,154 3,459,077 10,377,232 5,188,616 2,594,308 1,297,154 648,577 1,945,732 972,866 486,433 1,459,300 729,650 364,825 1,094,476 547,238 273,619 820,858 410,429 1,231,288 615,644 307,822 153,911 461,734 230,867 692,602 346,301 1,038,904 519,452 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428 554,714 277,357 832,072 416,036 208,018 104,009 312,028 156,014

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