8,784,464

2⁴ × 13 × 157 × 269

For 8,784,464, the 40 positive divisors have a total of 18,514,440. Removing 8,784,464 leaves 9,729,976, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 13 × 157 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,514,440

Proper Divisor Sum 9,729,976

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8784449 ← → #8784469

Radix Representation

Decimal	8784464
Binary	100001100000101001010000 (24 bits)
Octal	0o41405120
Hexadecimal	0x860A50

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 157 208 269 314 538 628 1,076 1,256 2,041 2,152 2,512 3,497 4,082 4,304 6,994 8,164 13,988 16,328 27,976 32,656 42,233 55,952 84,466 168,932 337,864 549,029 675,728 1,098,058 2,196,116 4,392,232 8,784,464

Collatz Trajectory (124 steps to reach 1)

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

8,784,464 4,392,232 2,196,116 1,098,058 549,029 1,647,088 823,544 411,772 205,886 102,943 308,830 154,415 463,246 231,623 694,870 347,435 1,042,306 521,153 1,563,460 781,730 390,865 1,172,596 586,298 293,149 879,448 439,724 219,862 109,931 329,794 164,897 494,692 247,346 123,673 371,020 185,510 92,755 278,266 139,133 417,400 208,700 104,350 52,175 156,526 78,263 234,790 117,395 352,186 176,093 528,280 264,140 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718

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