8,767,472

2⁴ × 7² × 53 × 211

For 8,767,472, the 60 positive divisors have a total of 20,228,616. Removing 8,767,472 leaves 11,461,144, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 53 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 20,228,616

Proper Divisor Sum 11,461,144

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8767471 ← → #8767501

Radix Representation

Decimal	8767472
Binary	100001011100011111110000 (24 bits)
Octal	0o41343760
Hexadecimal	0x85C7F0

Divisor Catalog (60)

1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 211 212 371 392 422 424 742 784 844 848 1,477 1,484 1,688 2,597 2,954 2,968 3,376 5,194 5,908 5,936 10,339 10,388 11,183 11,816 20,678 20,776 22,366 23,632 41,356 41,552 44,732 78,281 82,712 89,464 156,562 165,424 178,928 313,124 547,967 626,248 1,095,934 1,252,496 2,191,868 4,383,736 8,767,472

Collatz Trajectory (150 steps to reach 1)

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

8,767,472 4,383,736 2,191,868 1,095,934 547,967 1,643,902 821,951 2,465,854 1,232,927 3,698,782 1,849,391 5,548,174 2,774,087 8,322,262 4,161,131 12,483,394 6,241,697 18,725,092 9,362,546 4,681,273 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777 6,665,332 3,332,666 1,666,333 4,999,000 2,499,500 1,249,750 624,875 1,874,626 937,313 2,811,940 1,405,970 702,985 2,108,956 1,054,478 527,239 1,581,718 790,859 2,372,578 1,186,289 3,558,868 1,779,434 889,717 2,669,152 1,334,576 667,288 333,644

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