8,163,008

2⁶ × 7² × 19 × 137

For 8,163,008, the 84 positive divisors have a total of 19,979,640. Removing 8,163,008 leaves 11,816,632, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 7^2 × 19 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 19,979,640

Proper Divisor Sum 11,816,632

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8162983 ← → #8163017

Radix Representation

Decimal	8163008
Binary	11111001000111011000000 (23 bits)
Octal	0o37107300
Hexadecimal	0x7C8EC0

Divisor Catalog (60 of 84)

1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 137 152 196 224 266 274 304 392 448 532 548 608 784 931 959 1,064 1,096 1,216 1,568 1,862 1,918 2,128 2,192 2,603 3,136 3,724 3,836 4,256 4,384 5,206 6,713 7,448 7,672 8,512 8,768 10,412 13,426 14,896 15,344 18,221 20,824 26,852

Collatz Trajectory (155 steps to reach 1)

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

8,163,008 4,081,504 2,040,752 1,020,376 510,188 255,094 127,547 382,642 191,321 573,964 286,982 143,491 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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