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Atlas › Integer Profiles › Node 8,024,478

8,024,478

2 × 3 × 7 × 112 × 1579
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11^2 × 1579
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,173,440
Proper Divisor Sum 12,148,962
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8024453 ← → #8024509

Radix Representation

Decimal 8024478
Binary 11110100111000110011110 (23 bits)
Octal 0o36470636
Hexadecimal 0x7A719E

Divisor Catalog (48)

1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1,579 1,694 2,541 3,158 4,737 5,082 9,474 11,053 17,369 22,106 33,159 34,738 52,107 66,318 104,214 121,583 191,059 243,166 364,749 382,118 573,177 729,498 1,146,354 1,337,413 2,674,826 4,012,239 8,024,478

Collatz Trajectory (155 steps to reach 1)

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

8,024,478 4,012,239 12,036,718 6,018,359 18,055,078 9,027,539 27,082,618 13,541,309 40,623,928 20,311,964 10,155,982 5,077,991 15,233,974 7,616,987 22,850,962 11,425,481 34,276,444 17,138,222 8,569,111 25,707,334 12,853,667 38,561,002 19,280,501 57,841,504 28,920,752 14,460,376 7,230,188 3,615,094 1,807,547 5,422,642 2,711,321 8,133,964 4,066,982 2,033,491 6,100,474 3,050,237 9,150,712 4,575,356 2,287,678 1,143,839 3,431,518 1,715,759 5,147,278 2,573,639 7,720,918 3,860,459 11,581,378 5,790,689 17,372,068 8,686,034 4,343,017 13,029,052 6,514,526 3,257,263 9,771,790 4,885,895 14,657,686 7,328,843 21,986,530 10,993,265

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