λ
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Atlas › Integer Profiles › Node 83,058,538

83,058,538

2 × 19 × 41 × 89 × 599
Deficient Even Composite

83,058,538 factors as 2 × 19 × 41 × 89 × 599. Its 32 positive divisors give a proper-divisor sum of 53,021,462, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 19 × 41 × 89 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 136,080,000
Proper Divisor Sum 53,021,462
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #83058533 ← → #83058551

Radix Representation

Decimal 83058538
Binary 100111100110101111101101010 (27 bits)
Octal 0o474657552
Hexadecimal 0x4F35F6A

Divisor Catalog (32)

1 2 19 38 41 82 89 178 599 779 1,198 1,558 1,691 3,382 3,649 7,298 11,381 22,762 24,559 49,118 53,311 69,331 106,622 138,662 466,621 933,242 1,012,909 2,025,818 2,185,751 4,371,502 41,529,269 83,058,538

Collatz Trajectory (99 steps to reach 1)

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

83,058,538 41,529,269 124,587,808 62,293,904 31,146,952 15,573,476 7,786,738 3,893,369 11,680,108 5,840,054 2,920,027 8,760,082 4,380,041 13,140,124 6,570,062 3,285,031 9,855,094 4,927,547 14,782,642 7,391,321 22,173,964 11,086,982 5,543,491 16,630,474 8,315,237 24,945,712 12,472,856 6,236,428 3,118,214 1,559,107 4,677,322 2,338,661 7,015,984 3,507,992 1,753,996 876,998 438,499 1,315,498 657,749 1,973,248 986,624 493,312 246,656 123,328 61,664 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440

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