8,002,512

2⁴ × 3² × 7 × 17 × 467

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 17 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,158,976

Proper Divisor Sum 19,156,464

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8002507 ← → #8002513

Radix Representation

Decimal	8002512
Binary	11110100001101111010000 (23 bits)
Octal	0o36415720
Hexadecimal	0x7A1BD0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 467 476 504 612 714 816 934 952 1,008 1,071 1,224 1,401 1,428 1,868 1,904 2,142 2,448 2,802

Collatz Trajectory (142 steps to reach 1)

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

8,002,512 4,001,256 2,000,628 1,000,314 500,157 1,500,472 750,236 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214 534,107 1,602,322 801,161 2,403,484 1,201,742 600,871 1,802,614 901,307 2,703,922 1,351,961 4,055,884 2,027,942 1,013,971 3,041,914 1,520,957 4,562,872 2,281,436 1,140,718 570,359 1,711,078 855,539 2,566,618 1,283,309 3,849,928 1,924,964 962,482 481,241 1,443,724 721,862 360,931 1,082,794 541,397 1,624,192 812,096 406,048 203,024 101,512 50,756

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