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Atlas › Integer Profiles › Node 6,502,140

6,502,140

22 × 33 × 5 × 12041
Abundant Even Composite

6,502,140 factors as 2^2 × 3^3 × 5 × 12041. Its 48 positive divisors give a proper-divisor sum of 13,728,420, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 12041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,230,560
Proper Divisor Sum 13,728,420
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6502129 ← → #6502141

Radix Representation

Decimal 6502140
Binary 11000110011011011111100 (23 bits)
Octal 0o30633374
Hexadecimal 0x6336FC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12,041 24,082 36,123 48,164 60,205 72,246 108,369 120,410 144,492 180,615 216,738 240,820 325,107 361,230 433,476 541,845 650,214 722,460 1,083,690 1,300,428 1,625,535 2,167,380 3,251,070 6,502,140

Collatz Trajectory (90 steps to reach 1)

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

6,502,140 3,251,070 1,625,535 4,876,606 2,438,303 7,314,910 3,657,455 10,972,366 5,486,183 16,458,550 8,229,275 24,687,826 12,343,913 37,031,740 18,515,870 9,257,935 27,773,806 13,886,903 41,660,710 20,830,355 62,491,066 31,245,533 93,736,600 46,868,300 23,434,150 11,717,075 35,151,226 17,575,613 52,726,840 26,363,420 13,181,710 6,590,855 19,772,566 9,886,283 29,658,850 14,829,425 44,488,276 22,244,138 11,122,069 33,366,208 16,683,104 8,341,552 4,170,776 2,085,388 1,042,694 521,347 1,564,042 782,021 2,346,064 1,173,032 586,516 293,258 146,629 439,888 219,944 109,972 54,986 27,493 82,480 41,240

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