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Atlas › Integer Profiles › Node 71,123,992

71,123,992

23 × 19 × 293 × 1597
Deficient Even Composite

71,123,992 factors as 2^3 × 19 × 293 × 1597. Its 32 positive divisors give a proper-divisor sum of 69,819,608, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 293 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 140,943,600
Proper Divisor Sum 69,819,608
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #71123977 ← → #71123999

Radix Representation

Decimal 71123992
Binary 100001111010100010000011000 (27 bits)
Octal 0o417242030
Hexadecimal 0x43D4418

Divisor Catalog (32)

1 2 4 8 19 38 76 152 293 586 1,172 1,597 2,344 3,194 5,567 6,388 11,134 12,776 22,268 30,343 44,536 60,686 121,372 242,744 467,921 935,842 1,871,684 3,743,368 8,890,499 17,780,998 35,561,996 71,123,992

Collatz Trajectory (91 steps to reach 1)

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

71,123,992 35,561,996 17,780,998 8,890,499 26,671,498 13,335,749 40,007,248 20,003,624 10,001,812 5,000,906 2,500,453 7,501,360 3,750,680 1,875,340 937,670 468,835 1,406,506 703,253 2,109,760 1,054,880 527,440 263,720 131,860 65,930 32,965 98,896 49,448 24,724 12,362 6,181 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096

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