76,353,858

2 × 3² × 7³ × 83 × 149

76,353,858 factors as 2 × 3^2 × 7^3 × 83 × 149. Its 96 positive divisors give a proper-divisor sum of 120,206,142, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 83 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 196,560,000

Proper Divisor Sum 120,206,142

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #76353857 ← → #76353863

Radix Representation

Decimal	76353858
Binary	100100011010001000101000010 (27 bits)
Octal	0o443210502
Hexadecimal	0x48D1142

Divisor Catalog (60 of 96)

1 2 3 6 7 9 14 18 21 42 49 63 83 98 126 147 149 166 249 294 298 343 441 447 498 581 686 747 882 894 1,029 1,043 1,162 1,341 1,494 1,743 2,058 2,086 2,682 3,087 3,129 3,486 4,067 5,229 6,174 6,258 7,301 8,134 9,387 10,458 12,201 12,367 14,602 18,774 21,903 24,402 24,734 28,469 36,603 37,101

Collatz Trajectory (259 steps to reach 1)

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

76,353,858 38,176,929 114,530,788 57,265,394 28,632,697 85,898,092 42,949,046 21,474,523 64,423,570 32,211,785 96,635,356 48,317,678 24,158,839 72,476,518 36,238,259 108,714,778 54,357,389 163,072,168 81,536,084 40,768,042 20,384,021 61,152,064 30,576,032 15,288,016 7,644,008 3,822,004 1,911,002 955,501 2,866,504 1,433,252 716,626 358,313 1,074,940 537,470 268,735 806,206 403,103 1,209,310 604,655 1,813,966 906,983 2,720,950 1,360,475 4,081,426 2,040,713 6,122,140 3,061,070 1,530,535 4,591,606 2,295,803 6,887,410 3,443,705 10,331,116 5,165,558 2,582,779 7,748,338 3,874,169 11,622,508 5,811,254 2,905,627

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