2,428,636

2² × 7² × 12391

2,428,636 has digital root 4. The neighboring primes are 2428627 and 2428649; its proper-divisor sum differs from the starting integer by 87,136.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 12391

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 4,944,408

Proper Divisor Sum 2,515,772

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2428627 ← → #2428649

Radix Representation

Decimal	2428636
Binary	1001010000111011011100 (22 bits)
Octal	0o11207334
Hexadecimal	0x250EDC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 12,391 24,782 49,564 86,737 173,474 346,948 607,159 1,214,318 2,428,636

Collatz Trajectory (99 steps to reach 1)

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

2,428,636 1,214,318 607,159 1,821,478 910,739 2,732,218 1,366,109 4,098,328 2,049,164 1,024,582 512,291 1,536,874 768,437 2,305,312 1,152,656 576,328 288,164 144,082 72,041 216,124 108,062 54,031 162,094 81,047 243,142 121,571 364,714 182,357 547,072 273,536 136,768 68,384 34,192 17,096 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431

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