3,643,724

2² × 7 × 179 × 727

3,643,724 has digital root 2. The neighboring primes are 3643721 and 3643733; its proper-divisor sum differs from the starting integer by 50,792.

Prime Factor Structure

Factorization String 2^2 × 7 × 179 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,338,240

Proper Divisor Sum 3,694,516

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3643721 ← → #3643733

Radix Representation

Decimal	3643724
Binary	1101111001100101001100 (22 bits)
Octal	0o15714514
Hexadecimal	0x37994C

Divisor Catalog (24)

1 2 4 7 14 28 179 358 716 727 1,253 1,454 2,506 2,908 5,012 5,089 10,178 20,356 130,133 260,266 520,532 910,931 1,821,862 3,643,724

Collatz Trajectory (265 steps to reach 1)

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

3,643,724 1,821,862 910,931 2,732,794 1,366,397 4,099,192 2,049,596 1,024,798 512,399 1,537,198 768,599 2,305,798 1,152,899 3,458,698 1,729,349 5,188,048 2,594,024 1,297,012 648,506 324,253 972,760 486,380 243,190 121,595 364,786 182,393 547,180 273,590 136,795 410,386 205,193 615,580 307,790 153,895 461,686 230,843 692,530 346,265 1,038,796 519,398 259,699 779,098 389,549 1,168,648 584,324 292,162 146,081 438,244 219,122 109,561 328,684 164,342 82,171 246,514 123,257 369,772 184,886 92,443 277,330 138,665

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