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Atlas › Integer Profiles › Node 71,210,190

71,210,190

2 × 3 × 5 × 439 × 5407
Abundant Even Composite

71,210,190 factors as 2 × 3 × 5 × 439 × 5407. Its 32 positive divisors give a proper-divisor sum of 100,115,250, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 439 × 5407
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 171,325,440
Proper Divisor Sum 100,115,250
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #71210189 ← → #71210201

Radix Representation

Decimal 71210190
Binary 100001111101001010011001110 (27 bits)
Octal 0o417512316
Hexadecimal 0x43E94CE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 439 878 1,317 2,195 2,634 4,390 5,407 6,585 10,814 13,170 16,221 27,035 32,442 54,070 81,105 162,210 2,373,673 4,747,346 7,121,019 11,868,365 14,242,038 23,736,730 35,605,095 71,210,190

Collatz Trajectory (184 steps to reach 1)

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

71,210,190 35,605,095 106,815,286 53,407,643 160,222,930 80,111,465 240,334,396 120,167,198 60,083,599 180,250,798 90,125,399 270,376,198 135,188,099 405,564,298 202,782,149 608,346,448 304,173,224 152,086,612 76,043,306 38,021,653 114,064,960 57,032,480 28,516,240 14,258,120 7,129,060 3,564,530 1,782,265 5,346,796 2,673,398 1,336,699 4,010,098 2,005,049 6,015,148 3,007,574 1,503,787 4,511,362 2,255,681 6,767,044 3,383,522 1,691,761 5,075,284 2,537,642 1,268,821 3,806,464 1,903,232 951,616 475,808 237,904 118,952 59,476 29,738 14,869 44,608 22,304 11,152 5,576 2,788 1,394 697 2,092

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