5,117,728

2⁵ × 7 × 11 × 31 × 67

5,117,728 factors as 2^5 × 7 × 11 × 31 × 67. Its 96 positive divisors give a proper-divisor sum of 8,042,720, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 31 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,160,448

Proper Divisor Sum 8,042,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5117713 ← → #5117737

Radix Representation

Decimal	5117728
Binary	10011100001011100100000 (23 bits)
Octal	0o23413440
Hexadecimal	0x4E1720

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 67 77 88 112 124 134 154 176 217 224 248 268 308 341 352 434 469 496 536 616 682 737 868 938 992 1,072 1,232 1,364 1,474 1,736 1,876 2,077 2,144 2,387 2,464 2,728 2,948 3,472 3,752 4,154 4,774 5,159 5,456 5,896 6,944

Collatz Trajectory (74 steps to reach 1)

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

5,117,728 2,558,864 1,279,432 639,716 319,858 159,929 479,788 239,894 119,947 359,842 179,921 539,764 269,882 134,941 404,824 202,412 101,206 50,603 151,810 75,905 227,716 113,858 56,929 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 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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