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Atlas › Integer Profiles › Node 5,334,680

5,334,680

23 × 5 × 13 × 10259
Abundant Even Composite

5,334,680 factors as 2^3 × 5 × 13 × 10259. Its 32 positive divisors give a proper-divisor sum of 7,592,920, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 10259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,927,600
Proper Divisor Sum 7,592,920
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5334677 ← → #5334683

Radix Representation

Decimal 5334680
Binary 10100010110011010011000 (23 bits)
Octal 0o24263230
Hexadecimal 0x516698

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 10,259 20,518 41,036 51,295 82,072 102,590 133,367 205,180 266,734 410,360 533,468 666,835 1,066,936 1,333,670 2,667,340 5,334,680

Collatz Trajectory (144 steps to reach 1)

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

5,334,680 2,667,340 1,333,670 666,835 2,000,506 1,000,253 3,000,760 1,500,380 750,190 375,095 1,125,286 562,643 1,687,930 843,965 2,531,896 1,265,948 632,974 316,487 949,462 474,731 1,424,194 712,097 2,136,292 1,068,146 534,073 1,602,220 801,110 400,555 1,201,666 600,833 1,802,500 901,250 450,625 1,351,876 675,938 337,969 1,013,908 506,954 253,477 760,432 380,216 190,108 95,054 47,527 142,582 71,291 213,874 106,937 320,812 160,406 80,203 240,610 120,305 360,916 180,458 90,229 270,688 135,344 67,672 33,836

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