5,117,040

2⁴ × 3³ × 5 × 23 × 103

5,117,040 factors as 2^4 × 3^3 × 5 × 23 × 103. Its 160 positive divisors give a proper-divisor sum of 13,453,200, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 23 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 18,570,240

Proper Divisor Sum 13,453,200

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5117039 ← → #5117053

Radix Representation

Decimal	5117040
Binary	10011100001010001110000 (23 bits)
Octal	0o23412160
Hexadecimal	0x4E1470

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 103 108 115 120 135 138 144 180 184 206 207 216 230 240 270 276 309 345 360 368 412 414 432 460 515 540 552 618 621 690

Collatz Trajectory (74 steps to reach 1)

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

5,117,040 2,558,520 1,279,260 639,630 319,815 959,446 479,723 1,439,170 719,585 2,158,756 1,079,378 539,689 1,619,068 809,534 404,767 1,214,302 607,151 1,821,454 910,727 2,732,182 1,366,091 4,098,274 2,049,137 6,147,412 3,073,706 1,536,853 4,610,560 2,305,280 1,152,640 576,320 288,160 144,080 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904

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