8,742,888

2³ × 3² × 7 × 11 × 19 × 83

8,742,888 has digital root 9. The neighboring primes are 8742887 and 8742917; its proper-divisor sum differs from the starting integer by 13,963,824.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 11 × 19 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 31,449,600

Proper Divisor Sum 22,706,712

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8742887 ← → #8742917

Radix Representation

Decimal	8742888
Binary	100001010110011111101000 (24 bits)
Octal	0o41263750
Hexadecimal	0x8567E8

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 28 33 36 38 42 44 56 57 63 66 72 76 77 83 84 88 99 114 126 132 133 152 154 166 168 171 198 209 228 231 249 252 264 266 308 332 342 396 399 418 456 462 498 504

Collatz Trajectory (212 steps to reach 1)

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

8,742,888 4,371,444 2,185,722 1,092,861 3,278,584 1,639,292 819,646 409,823 1,229,470 614,735 1,844,206 922,103 2,766,310 1,383,155 4,149,466 2,074,733 6,224,200 3,112,100 1,556,050 778,025 2,334,076 1,167,038 583,519 1,750,558 875,279 2,625,838 1,312,919 3,938,758 1,969,379 5,908,138 2,954,069 8,862,208 4,431,104 2,215,552 1,107,776 553,888 276,944 138,472 69,236 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244

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