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Atlas › Integer Profiles › Node 59,778,784

59,778,784

25 × 13 × 143699
Abundant Even Composite

59,778,784 factors as 2^5 × 13 × 143699. Its 24 positive divisors give a proper-divisor sum of 66,964,616, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 143699
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 126,743,400
Proper Divisor Sum 66,964,616
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #59778781 ← → #59778787

Radix Representation

Decimal 59778784
Binary 11100100000010011011100000 (26 bits)
Octal 0o344023340
Hexadecimal 0x39026E0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 143,699 287,398 574,796 1,149,592 1,868,087 2,299,184 3,736,174 4,598,368 7,472,348 14,944,696 29,889,392 59,778,784

Collatz Trajectory (251 steps to reach 1)

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

59,778,784 29,889,392 14,944,696 7,472,348 3,736,174 1,868,087 5,604,262 2,802,131 8,406,394 4,203,197 12,609,592 6,304,796 3,152,398 1,576,199 4,728,598 2,364,299 7,092,898 3,546,449 10,639,348 5,319,674 2,659,837 7,979,512 3,989,756 1,994,878 997,439 2,992,318 1,496,159 4,488,478 2,244,239 6,732,718 3,366,359 10,099,078 5,049,539 15,148,618 7,574,309 22,722,928 11,361,464 5,680,732 2,840,366 1,420,183 4,260,550 2,130,275 6,390,826 3,195,413 9,586,240 4,793,120 2,396,560 1,198,280 599,140 299,570 149,785 449,356 224,678 112,339 337,018 168,509 505,528 252,764 126,382 63,191

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