λ
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Atlas › Integer Profiles › Node 76,063,040

76,063,040

26 × 5 × 251 × 947
Abundant Even Composite

76,063,040 factors as 2^6 × 5 × 251 × 947. Its 56 positive divisors give a proper-divisor sum of 105,975,712, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 251 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 182,038,752
Proper Divisor Sum 105,975,712
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #76063033 ← → #76063073

Radix Representation

Decimal 76063040
Binary 100100010001010000101000000 (27 bits)
Octal 0o442120500
Hexadecimal 0x488A140

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 947 1,004 1,255 1,894 2,008 2,510 3,788 4,016 4,735 5,020 7,576 8,032 9,470 10,040 15,152 16,064 18,940 20,080 30,304 37,880 40,160 60,608 75,760 80,320 151,520 237,697 303,040 475,394 950,788 1,188,485 1,901,576 2,376,970 3,803,152 4,753,940 7,606,304 9,507,880 15,212,608 19,015,760 38,031,520 76,063,040

Collatz Trajectory (78 steps to reach 1)

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

76,063,040 38,031,520 19,015,760 9,507,880 4,753,940 2,376,970 1,188,485 3,565,456 1,782,728 891,364 445,682 222,841 668,524 334,262 167,131 501,394 250,697 752,092 376,046 188,023 564,070 282,035 846,106 423,053 1,269,160 634,580 317,290 158,645 475,936 237,968 118,984 59,492 29,746 14,873 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373

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