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Atlas › Integer Profiles › Node 71,113,792

71,113,792

26 × 23 × 48311
Abundant Even Composite

71,113,792 factors as 2^6 × 23 × 48311. Its 28 positive divisors give a proper-divisor sum of 76,141,184, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 48311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 147,254,976
Proper Divisor Sum 76,141,184
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #71113727 ← → #71113793

Radix Representation

Decimal 71113792
Binary 100001111010001110001000000 (27 bits)
Octal 0o417216100
Hexadecimal 0x43D1C40

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,472 48,311 96,622 193,244 386,488 772,976 1,111,153 1,545,952 2,222,306 3,091,904 4,444,612 8,889,224 17,778,448 35,556,896 71,113,792

Collatz Trajectory (91 steps to reach 1)

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

71,113,792 35,556,896 17,778,448 8,889,224 4,444,612 2,222,306 1,111,153 3,333,460 1,666,730 833,365 2,500,096 1,250,048 625,024 312,512 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 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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