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Atlas › Integer Profiles › Node 83,998,024

83,998,024

23 × 11 × 23 × 47 × 883
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 23 × 47 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 183,306,240
Proper Divisor Sum 99,308,216
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #83998009 ← → #83998051

Radix Representation

Decimal 83998024
Binary 101000000011011010101001000 (27 bits)
Octal 0o500332510
Hexadecimal 0x501B548

Divisor Catalog (60 of 64)

1 2 4 8 11 22 23 44 46 47 88 92 94 184 188 253 376 506 517 883 1,012 1,034 1,081 1,766 2,024 2,068 2,162 3,532 4,136 4,324 7,064 8,648 9,713 11,891 19,426 20,309 23,782 38,852 40,618 41,501 47,564 77,704 81,236 83,002 95,128 162,472 166,004 223,399 332,008 446,798 456,511 893,596 913,022 954,523 1,787,192 1,826,044 1,909,046 3,652,088 3,818,092 7,636,184

Collatz Trajectory (267 steps to reach 1)

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

83,998,024 41,999,012 20,999,506 10,499,753 31,499,260 15,749,630 7,874,815 23,624,446 11,812,223 35,436,670 17,718,335 53,155,006 26,577,503 79,732,510 39,866,255 119,598,766 59,799,383 179,398,150 89,699,075 269,097,226 134,548,613 403,645,840 201,822,920 100,911,460 50,455,730 25,227,865 75,683,596 37,841,798 18,920,899 56,762,698 28,381,349 85,144,048 42,572,024 21,286,012 10,643,006 5,321,503 15,964,510 7,982,255 23,946,766 11,973,383 35,920,150 17,960,075 53,880,226 26,940,113 80,820,340 40,410,170 20,205,085 60,615,256 30,307,628 15,153,814 7,576,907 22,730,722 11,365,361 34,096,084 17,048,042 8,524,021 25,572,064 12,786,032 6,393,016 3,196,508

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