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Atlas › Integer Profiles › Node 7,668,024

7,668,024

23 × 3 × 7 × 13 × 3511
Abundant Even Composite

7,668,024 factors as 2^3 × 3 × 7 × 13 × 3511. Its 64 positive divisors give a proper-divisor sum of 15,932,616, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 3511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,600,640
Proper Divisor Sum 15,932,616
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7668019 ← → #7668029

Radix Representation

Decimal 7668024
Binary 11101010000000100111000 (23 bits)
Octal 0o35200470
Hexadecimal 0x750138

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1,092 2,184 3,511 7,022 10,533 14,044 21,066 24,577 28,088 42,132 45,643 49,154 73,731 84,264 91,286 98,308 136,929 147,462 182,572 196,616 273,858 294,924 319,501 365,144 547,716 589,848 639,002 958,503 1,095,432 1,278,004

Collatz Trajectory (111 steps to reach 1)

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

7,668,024 3,834,012 1,917,006 958,503 2,875,510 1,437,755 4,313,266 2,156,633 6,469,900 3,234,950 1,617,475 4,852,426 2,426,213 7,278,640 3,639,320 1,819,660 909,830 454,915 1,364,746 682,373 2,047,120 1,023,560 511,780 255,890 127,945 383,836 191,918 95,959 287,878 143,939 431,818 215,909 647,728 323,864 161,932 80,966 40,483 121,450 60,725 182,176 91,088 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352

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