4,316,640

2⁵ × 3 × 5 × 17 × 23²

4,316,640 factors as 2^5 × 3 × 5 × 17 × 23^2. Its 144 positive divisors give a proper-divisor sum of 10,733,808, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17 × 23^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 15,050,448

Proper Divisor Sum 10,733,808

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4316593 ← → #4316647

Radix Representation

Decimal	4316640
Binary	10000011101110111100000 (23 bits)
Octal	0o20356740
Hexadecimal	0x41DDE0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 32 34 40 46 48 51 60 68 69 80 85 92 96 102 115 120 136 138 160 170 184 204 230 240 255 272 276 340 345 368 391 408 460 480 510 529 544 552 680 690 736 782 816 920

Collatz Trajectory (203 steps to reach 1)

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

4,316,640 2,158,320 1,079,160 539,580 269,790 134,895 404,686 202,343 607,030 303,515 910,546 455,273 1,365,820 682,910 341,455 1,024,366 512,183 1,536,550 768,275 2,304,826 1,152,413 3,457,240 1,728,620 864,310 432,155 1,296,466 648,233 1,944,700 972,350 486,175 1,458,526 729,263 2,187,790 1,093,895 3,281,686 1,640,843 4,922,530 2,461,265 7,383,796 3,691,898 1,845,949 5,537,848 2,768,924 1,384,462 692,231 2,076,694 1,038,347 3,115,042 1,557,521 4,672,564 2,336,282 1,168,141 3,504,424 1,752,212 876,106 438,053 1,314,160 657,080 328,540 164,270

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