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Atlas › Integer Profiles › Node 76,359,330

76,359,330

2 × 32 × 5 × 89 × 9533
Abundant Even Composite

76,359,330 factors as 2 × 3^2 × 5 × 89 × 9533. Its 48 positive divisors give a proper-divisor sum of 124,426,710, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 89 × 9533
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 200,786,040
Proper Divisor Sum 124,426,710
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #76359329 ← → #76359331

Radix Representation

Decimal 76359330
Binary 100100011010010011010100010 (27 bits)
Octal 0o443223242
Hexadecimal 0x48D26A2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1,335 1,602 2,670 4,005 8,010 9,533 19,066 28,599 47,665 57,198 85,797 95,330 142,995 171,594 285,990 428,985 848,437 857,970 1,696,874 2,545,311 4,242,185 5,090,622 7,635,933 8,484,370 12,726,555 15,271,866 25,453,110 38,179,665 76,359,330

Collatz Trajectory (104 steps to reach 1)

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

76,359,330 38,179,665 114,538,996 57,269,498 28,634,749 85,904,248 42,952,124 21,476,062 10,738,031 32,214,094 16,107,047 48,321,142 24,160,571 72,481,714 36,240,857 108,722,572 54,361,286 27,180,643 81,541,930 40,770,965 122,312,896 61,156,448 30,578,224 15,289,112 7,644,556 3,822,278 1,911,139 5,733,418 2,866,709 8,600,128 4,300,064 2,150,032 1,075,016 537,508 268,754 134,377 403,132 201,566 100,783 302,350 151,175 453,526 226,763 680,290 340,145 1,020,436 510,218 255,109 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875 107,626 53,813 161,440 80,720

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