λ
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Atlas › Integer Profiles › Node 83,671,692

83,671,692

22 × 3 × 13 × 536357
Abundant Even Composite

83,671,692 factors as 2^2 × 3 × 13 × 536357. Its 24 positive divisors give a proper-divisor sum of 126,580,644, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 536357
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 210,252,336
Proper Divisor Sum 126,580,644
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #83671691 ← → #83671711

Radix Representation

Decimal 83671692
Binary 100111111001011101010001100 (27 bits)
Octal 0o477135214
Hexadecimal 0x4FCBA8C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 536,357 1,072,714 1,609,071 2,145,428 3,218,142 6,436,284 6,972,641 13,945,282 20,917,923 27,890,564 41,835,846 83,671,692

Collatz Trajectory (148 steps to reach 1)

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

83,671,692 41,835,846 20,917,923 62,753,770 31,376,885 94,130,656 47,065,328 23,532,664 11,766,332 5,883,166 2,941,583 8,824,750 4,412,375 13,237,126 6,618,563 19,855,690 9,927,845 29,783,536 14,891,768 7,445,884 3,722,942 1,861,471 5,584,414 2,792,207 8,376,622 4,188,311 12,564,934 6,282,467 18,847,402 9,423,701 28,271,104 14,135,552 7,067,776 3,533,888 1,766,944 883,472 441,736 220,868 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412

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