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Atlas › Integer Profiles › Node 71,106,960

71,106,960

24 × 3 × 5 × 296279
Abundant Even Composite

71,106,960 factors as 2^4 × 3 × 5 × 296279. Its 40 positive divisors give a proper-divisor sum of 149,325,360, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 296279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 220,432,320
Proper Divisor Sum 149,325,360
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #71106947 ← → #71106991

Radix Representation

Decimal 71106960
Binary 100001111010000000110010000 (27 bits)
Octal 0o417200620
Hexadecimal 0x43D0190

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 296,279 592,558 888,837 1,185,116 1,481,395 1,777,674 2,370,232 2,962,790 3,555,348 4,444,185 4,740,464 5,925,580 7,110,696 8,888,370 11,851,160 14,221,392 17,776,740 23,702,320 35,553,480 71,106,960

Collatz Trajectory (290 steps to reach 1)

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

71,106,960 35,553,480 17,776,740 8,888,370 4,444,185 13,332,556 6,666,278 3,333,139 9,999,418 4,999,709 14,999,128 7,499,564 3,749,782 1,874,891 5,624,674 2,812,337 8,437,012 4,218,506 2,109,253 6,327,760 3,163,880 1,581,940 790,970 395,485 1,186,456 593,228 296,614 148,307 444,922 222,461 667,384 333,692 166,846 83,423 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001

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