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64,100,240

24 × 5 × 67 × 11959
Abundant Even Composite

64,100,240 factors as 2^4 × 5 × 67 × 11959. Its 40 positive divisors give a proper-divisor sum of 87,169,840, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 67 × 11959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 151,270,080
Proper Divisor Sum 87,169,840
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #64100227 ← → #64100263

Radix Representation

Decimal 64100240
Binary 11110100100001011110010000 (26 bits)
Octal 0o364413620
Hexadecimal 0x3D21790

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1,072 1,340 2,680 5,360 11,959 23,918 47,836 59,795 95,672 119,590 191,344 239,180 478,360 801,253 956,720 1,602,506 3,205,012 4,006,265 6,410,024 8,012,530 12,820,048 16,025,060 32,050,120 64,100,240

Collatz Trajectory (145 steps to reach 1)

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

64,100,240 32,050,120 16,025,060 8,012,530 4,006,265 12,018,796 6,009,398 3,004,699 9,014,098 4,507,049 13,521,148 6,760,574 3,380,287 10,140,862 5,070,431 15,211,294 7,605,647 22,816,942 11,408,471 34,225,414 17,112,707 51,338,122 25,669,061 77,007,184 38,503,592 19,251,796 9,625,898 4,812,949 14,438,848 7,219,424 3,609,712 1,804,856 902,428 451,214 225,607 676,822 338,411 1,015,234 507,617 1,522,852 761,426 380,713 1,142,140 571,070 285,535 856,606 428,303 1,284,910 642,455 1,927,366 963,683 2,891,050 1,445,525 4,336,576 2,168,288 1,084,144 542,072 271,036 135,518 67,759

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