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Atlas › Integer Profiles › Node 7,844,584

7,844,584

23 × 11 × 97 × 919
Abundant Even Composite

7,844,584 factors as 2^3 × 11 × 97 × 919. Its 32 positive divisors give a proper-divisor sum of 8,384,216, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 97 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,228,800
Proper Divisor Sum 8,384,216
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7844567 ← → #7844591

Radix Representation

Decimal 7844584
Binary 11101111011001011101000 (23 bits)
Octal 0o35731350
Hexadecimal 0x77B2E8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 97 194 388 776 919 1,067 1,838 2,134 3,676 4,268 7,352 8,536 10,109 20,218 40,436 80,872 89,143 178,286 356,572 713,144 980,573 1,961,146 3,922,292 7,844,584

Collatz Trajectory (98 steps to reach 1)

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

7,844,584 3,922,292 1,961,146 980,573 2,941,720 1,470,860 735,430 367,715 1,103,146 551,573 1,654,720 827,360 413,680 206,840 103,420 51,710 25,855 77,566 38,783 116,350 58,175 174,526 87,263 261,790 130,895 392,686 196,343 589,030 294,515 883,546 441,773 1,325,320 662,660 331,330 165,665 496,996 248,498 124,249 372,748 186,374 93,187 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760

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