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Atlas › Integer Profiles › Node 59,635,784

59,635,784

23 × 13 × 59 × 9719
Abundant Even Composite

59,635,784 factors as 2^3 × 13 × 59 × 9719. Its 32 positive divisors give a proper-divisor sum of 62,836,216, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 59 × 9719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 122,472,000
Proper Divisor Sum 62,836,216
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #59635783 ← → #59635801

Radix Representation

Decimal 59635784
Binary 11100011011111100001001000 (26 bits)
Octal 0o343374110
Hexadecimal 0x38DF848

Divisor Catalog (32)

1 2 4 8 13 26 52 59 104 118 236 472 767 1,534 3,068 6,136 9,719 19,438 38,876 77,752 126,347 252,694 505,388 573,421 1,010,776 1,146,842 2,293,684 4,587,368 7,454,473 14,908,946 29,817,892 59,635,784

Collatz Trajectory (207 steps to reach 1)

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

59,635,784 29,817,892 14,908,946 7,454,473 22,363,420 11,181,710 5,590,855 16,772,566 8,386,283 25,158,850 12,579,425 37,738,276 18,869,138 9,434,569 28,303,708 14,151,854 7,075,927 21,227,782 10,613,891 31,841,674 15,920,837 47,762,512 23,881,256 11,940,628 5,970,314 2,985,157 8,955,472 4,477,736 2,238,868 1,119,434 559,717 1,679,152 839,576 419,788 209,894 104,947 314,842 157,421 472,264 236,132 118,066 59,033 177,100 88,550 44,275 132,826 66,413 199,240 99,620 49,810 24,905 74,716 37,358 18,679 56,038 28,019 84,058 42,029 126,088 63,044

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