4,338,996

2² × 3 × 23 × 79 × 199

4,338,996 factors as 2^2 × 3 × 23 × 79 × 199. Its 48 positive divisors give a proper-divisor sum of 6,413,004, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 79 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,752,000

Proper Divisor Sum 6,413,004

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4338979 ← → #4339021

Radix Representation

Decimal	4338996
Binary	10000100011010100110100 (23 bits)
Octal	0o20432464
Hexadecimal	0x423534

Divisor Catalog (48)

1 2 3 4 6 12 23 46 69 79 92 138 158 199 237 276 316 398 474 597 796 948 1,194 1,817 2,388 3,634 4,577 5,451 7,268 9,154 10,902 13,731 15,721 18,308 21,804 27,462 31,442 47,163 54,924 62,884 94,326 188,652 361,583 723,166 1,084,749 1,446,332 2,169,498 4,338,996

Collatz Trajectory (118 steps to reach 1)

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

4,338,996 2,169,498 1,084,749 3,254,248 1,627,124 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588

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