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Atlas › Integer Profiles › Node 48,752,220

48,752,220

22 × 3 × 5 × 11 × 73867
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 73867
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 148,917,888
Proper Divisor Sum 100,165,668
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #48752201 ← → #48752227

Radix Representation

Decimal 48752220
Binary 10111001111110011001011100 (26 bits)
Octal 0o271763134
Hexadecimal 0x2E7E65C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 73,867 147,734 221,601 295,468 369,335 443,202 738,670 812,537 886,404 1,108,005 1,477,340 1,625,074 2,216,010 2,437,611 3,250,148 4,062,685 4,432,020 4,875,222 8,125,370 9,750,444 12,188,055 16,250,740 24,376,110 48,752,220

Collatz Trajectory (230 steps to reach 1)

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

48,752,220 24,376,110 12,188,055 36,564,166 18,282,083 54,846,250 27,423,125 82,269,376 41,134,688 20,567,344 10,283,672 5,141,836 2,570,918 1,285,459 3,856,378 1,928,189 5,784,568 2,892,284 1,446,142 723,071 2,169,214 1,084,607 3,253,822 1,626,911 4,880,734 2,440,367 7,321,102 3,660,551 10,981,654 5,490,827 16,472,482 8,236,241 24,708,724 12,354,362 6,177,181 18,531,544 9,265,772 4,632,886 2,316,443 6,949,330 3,474,665 10,423,996 5,211,998 2,605,999 7,817,998 3,908,999 11,726,998 5,863,499 17,590,498 8,795,249 26,385,748 13,192,874 6,596,437 19,789,312 9,894,656 4,947,328 2,473,664 1,236,832 618,416 309,208

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