λ
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Atlas › Integer Profiles › Node 82,101,418

82,101,418

2 × 7 × 71 × 151 × 547
Deficient Even Composite

82,101,418 factors as 2 × 7 × 71 × 151 × 547. Its 32 positive divisors give a proper-divisor sum of 61,834,070, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 7 × 71 × 151 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 143,935,488
Proper Divisor Sum 61,834,070
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #82101401 ← → #82101431

Radix Representation

Decimal 82101418
Binary 100111001001100010010101010 (27 bits)
Octal 0o471142252
Hexadecimal 0x4E4C4AA

Divisor Catalog (32)

1 2 7 14 71 142 151 302 497 547 994 1,057 1,094 2,114 3,829 7,658 10,721 21,442 38,837 75,047 77,674 82,597 150,094 165,194 271,859 543,718 578,179 1,156,358 5,864,387 11,728,774 41,050,709 82,101,418

Collatz Trajectory (223 steps to reach 1)

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

82,101,418 41,050,709 123,152,128 61,576,064 30,788,032 15,394,016 7,697,008 3,848,504 1,924,252 962,126 481,063 1,443,190 721,595 2,164,786 1,082,393 3,247,180 1,623,590 811,795 2,435,386 1,217,693 3,653,080 1,826,540 913,270 456,635 1,369,906 684,953 2,054,860 1,027,430 513,715 1,541,146 770,573 2,311,720 1,155,860 577,930 288,965 866,896 433,448 216,724 108,362 54,181 162,544 81,272 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411

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