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Ratio Atlas
Atlas › Integer Profiles › Node 88,755,520

88,755,520

26 × 5 × 7 × 39623
Abundant Even Composite

88,755,520 factors as 2^6 × 5 × 7 × 39623. Its 56 positive divisors give a proper-divisor sum of 152,792,384, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 39623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 241,547,904
Proper Divisor Sum 152,792,384
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #88755463 ← → #88755553

Radix Representation

Decimal 88755520
Binary 101010010100100110101000000 (27 bits)
Octal 0o522446500
Hexadecimal 0x54A4D40

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 2,240 39,623 79,246 158,492 198,115 277,361 316,984 396,230 554,722 633,968 792,460 1,109,444 1,267,936 1,386,805 1,584,920 2,218,888 2,535,872 2,773,610 3,169,840 4,437,776 5,547,220 6,339,680 8,875,552 11,094,440 12,679,360 17,751,104 22,188,880 44,377,760 88,755,520

Collatz Trajectory (112 steps to reach 1)

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

88,755,520 44,377,760 22,188,880 11,094,440 5,547,220 2,773,610 1,386,805 4,160,416 2,080,208 1,040,104 520,052 260,026 130,013 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609

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