8,288,748

2² × 3² × 13 × 89 × 199

8,288,748 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 13 × 89 × 199 and its 72 divisors sum to 22,932,000.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 89 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 22,932,000

Proper Divisor Sum 14,643,252

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8288743 ← → #8288803

Radix Representation

Decimal	8288748
Binary	11111100111100111101100 (23 bits)
Octal	0o37474754
Hexadecimal	0x7E79EC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 199 234 267 356 398 468 534 597 796 801 1,068 1,157 1,194 1,602 1,791 2,314 2,388 2,587 3,204 3,471 3,582 4,628 5,174 6,942 7,164 7,761 10,348 10,413 13,884 15,522 17,711 20,826 23,283 31,044 35,422 41,652 46,566 53,133 70,844 93,132 106,266 159,399

Collatz Trajectory (124 steps to reach 1)

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

8,288,748 4,144,374 2,072,187 6,216,562 3,108,281 9,324,844 4,662,422 2,331,211 6,993,634 3,496,817 10,490,452 5,245,226 2,622,613 7,867,840 3,933,920 1,966,960 983,480 491,740 245,870 122,935 368,806 184,403 553,210 276,605 829,816 414,908 207,454 103,727 311,182 155,591 466,774 233,387 700,162 350,081 1,050,244 525,122 262,561 787,684 393,842 196,921 590,764 295,382 147,691 443,074 221,537 664,612 332,306 166,153 498,460 249,230 124,615 373,846 186,923 560,770 280,385 841,156 420,578 210,289 630,868 315,434

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