λ
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Atlas › Integer Profiles › Node 84,750,488

84,750,488

23 × 19 × 233 × 2393
Deficient Even Composite

84,750,488 factors as 2^3 × 19 × 233 × 2393. Its 32 positive divisors give a proper-divisor sum of 83,308,312, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 233 × 2393
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 168,058,800
Proper Divisor Sum 83,308,312
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #84750487 ← → #84750509

Radix Representation

Decimal 84750488
Binary 101000011010011000010011000 (27 bits)
Octal 0o503230230
Hexadecimal 0x50D3098

Divisor Catalog (32)

1 2 4 8 19 38 76 152 233 466 932 1,864 2,393 4,427 4,786 8,854 9,572 17,708 19,144 35,416 45,467 90,934 181,868 363,736 557,569 1,115,138 2,230,276 4,460,552 10,593,811 21,187,622 42,375,244 84,750,488

Collatz Trajectory (135 steps to reach 1)

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

84,750,488 42,375,244 21,187,622 10,593,811 31,781,434 15,890,717 47,672,152 23,836,076 11,918,038 5,959,019 17,877,058 8,938,529 26,815,588 13,407,794 6,703,897 20,111,692 10,055,846 5,027,923 15,083,770 7,541,885 22,625,656 11,312,828 5,656,414 2,828,207 8,484,622 4,242,311 12,726,934 6,363,467 19,090,402 9,545,201 28,635,604 14,317,802 7,158,901 21,476,704 10,738,352 5,369,176 2,684,588 1,342,294 671,147 2,013,442 1,006,721 3,020,164 1,510,082 755,041 2,265,124 1,132,562 566,281 1,698,844 849,422 424,711 1,274,134 637,067 1,911,202 955,601 2,866,804 1,433,402 716,701 2,150,104 1,075,052 537,526

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