1,001,784

2³ × 3 × 7 × 67 × 89

For 1,001,784, the 64 positive divisors have a total of 2,937,600. Removing 1,001,784 leaves 1,935,816, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 67 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,937,600

Proper Divisor Sum 1,935,816

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1001783 ← → #1001797

Radix Representation

Decimal	1001784
Binary	11110100100100111000 (20 bits)
Octal	0o3644470
Hexadecimal	0xF4938

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 89 134 168 178 201 267 268 356 402 469 534 536 623 712 804 938 1,068 1,246 1,407 1,608 1,869 1,876 2,136 2,492 2,814 3,738 3,752 4,984 5,628 5,963 7,476 11,256 11,926 14,952 17,889 23,852 35,778 41,741 47,704 71,556 83,482 125,223 143,112 166,964

Collatz Trajectory (152 steps to reach 1)

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

1,001,784 500,892 250,446 125,223 375,670 187,835 563,506 281,753 845,260 422,630 211,315 633,946 316,973 950,920 475,460 237,730 118,865 356,596 178,298 89,149 267,448 133,724 66,862 33,431 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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