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874,872

23 × 32 × 29 × 419
Abundant Even Composite

874,872 factors as 2^3 × 3^2 × 29 × 419. Its 48 positive divisors give a proper-divisor sum of 1,582,128, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 29 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,457,000
Proper Divisor Sum 1,582,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #874859 ← → #874873

Radix Representation

Decimal 874872
Binary 11010101100101111000 (20 bits)
Octal 0o3254570
Hexadecimal 0xD5978

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 419 522 696 838 1,044 1,257 1,676 2,088 2,514 3,352 3,771 5,028 7,542 10,056 12,151 15,084 24,302 30,168 36,453 48,604 72,906 97,208 109,359 145,812 218,718 291,624 437,436 874,872

Collatz Trajectory (149 steps to reach 1)

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

874,872 437,436 218,718 109,359 328,078 164,039 492,118 246,059 738,178 369,089 1,107,268 553,634 276,817 830,452 415,226 207,613 622,840 311,420 155,710 77,855 233,566 116,783 350,350 175,175 525,526 262,763 788,290 394,145 1,182,436 591,218 295,609 886,828 443,414 221,707 665,122 332,561 997,684 498,842 249,421 748,264 374,132 187,066 93,533 280,600 140,300 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298

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