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Atlas › Integer Profiles › Node 64,420,160

64,420,160

26 × 5 × 7 × 28759
Abundant Even Composite

64,420,160 factors as 2^6 × 5 × 7 × 28759. Its 56 positive divisors give a proper-divisor sum of 110,900,800, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 28759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 175,320,960
Proper Divisor Sum 110,900,800
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #64420159 ← → #64420207

Radix Representation

Decimal 64420160
Binary 11110101101111100101000000 (26 bits)
Octal 0o365574500
Hexadecimal 0x3D6F940

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 2,240 28,759 57,518 115,036 143,795 201,313 230,072 287,590 402,626 460,144 575,180 805,252 920,288 1,006,565 1,150,360 1,610,504 1,840,576 2,013,130 2,300,720 3,221,008 4,026,260 4,601,440 6,442,016 8,052,520 9,202,880 12,884,032 16,105,040 32,210,080 64,420,160

Collatz Trajectory (96 steps to reach 1)

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

64,420,160 32,210,080 16,105,040 8,052,520 4,026,260 2,013,130 1,006,565 3,019,696 1,509,848 754,924 377,462 188,731 566,194 283,097 849,292 424,646 212,323 636,970 318,485 955,456 477,728 238,864 119,432 59,716 29,858 14,929 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894

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