λ
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Atlas › Integer Profiles › Node 94,016,590

94,016,590

2 × 5 × 83 × 227 × 499
Deficient Even Composite

94,016,590 factors as 2 × 5 × 83 × 227 × 499. Its 32 positive divisors give a proper-divisor sum of 78,351,410, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 5 × 83 × 227 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 172,368,000
Proper Divisor Sum 78,351,410
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #94016563 ← → #94016599

Radix Representation

Decimal 94016590
Binary 101100110101001010001001110 (27 bits)
Octal 0o546512116
Hexadecimal 0x59A944E

Divisor Catalog (32)

1 2 5 10 83 166 227 415 454 499 830 998 1,135 2,270 2,495 4,990 18,841 37,682 41,417 82,834 94,205 113,273 188,410 207,085 226,546 414,170 566,365 1,132,730 9,401,659 18,803,318 47,008,295 94,016,590

Collatz Trajectory (187 steps to reach 1)

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

94,016,590 47,008,295 141,024,886 70,512,443 211,537,330 105,768,665 317,305,996 158,652,998 79,326,499 237,979,498 118,989,749 356,969,248 178,484,624 89,242,312 44,621,156 22,310,578 11,155,289 33,465,868 16,732,934 8,366,467 25,099,402 12,549,701 37,649,104 18,824,552 9,412,276 4,706,138 2,353,069 7,059,208 3,529,604 1,764,802 882,401 2,647,204 1,323,602 661,801 1,985,404 992,702 496,351 1,489,054 744,527 2,233,582 1,116,791 3,350,374 1,675,187 5,025,562 2,512,781 7,538,344 3,769,172 1,884,586 942,293 2,826,880 1,413,440 706,720 353,360 176,680 88,340 44,170 22,085 66,256 33,128 16,564

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