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Atlas › Integer Profiles › Node 59,628,528

59,628,528

24 × 33 × 83 × 1663
Abundant Even Composite

59,628,528 factors as 2^4 × 3^3 × 83 × 1663. Its 80 positive divisors give a proper-divisor sum of 113,693,712, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 83 × 1663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 173,322,240
Proper Divisor Sum 113,693,712
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #59628511 ← → #59628529

Radix Representation

Decimal 59628528
Binary 11100011011101101111110000 (26 bits)
Octal 0o343355760
Hexadecimal 0x38DDBF0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1,328 1,494 1,663 1,992 2,241 2,988 3,326 3,984 4,482 4,989 5,976 6,652 8,964 9,978 11,952 13,304 14,967 17,928 19,956 26,608 29,934 35,856 39,912 44,901 59,868 79,824 89,802 119,736 138,029 179,604 239,472 276,058

Collatz Trajectory (220 steps to reach 1)

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

59,628,528 29,814,264 14,907,132 7,453,566 3,726,783 11,180,350 5,590,175 16,770,526 8,385,263 25,155,790 12,577,895 37,733,686 18,866,843 56,600,530 28,300,265 84,900,796 42,450,398 21,225,199 63,675,598 31,837,799 95,513,398 47,756,699 143,270,098 71,635,049 214,905,148 107,452,574 53,726,287 161,178,862 80,589,431 241,768,294 120,884,147 362,652,442 181,326,221 543,978,664 271,989,332 135,994,666 67,997,333 203,992,000 101,996,000 50,998,000 25,499,000 12,749,500 6,374,750 3,187,375 9,562,126 4,781,063 14,343,190 7,171,595 21,514,786 10,757,393 32,272,180 16,136,090 8,068,045 24,204,136 12,102,068 6,051,034 3,025,517 9,076,552 4,538,276 2,269,138

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