10,242,980

2² × 5 × 11 × 46559

10,242,980 factors as 2^2 × 5 × 11 × 46559. Its 24 positive divisors give a proper-divisor sum of 13,223,260, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 46559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,466,240

Proper Divisor Sum 13,223,260

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #10242979 ← → #10242983

Radix Representation

Decimal	10242980
Binary	100111000100101110100100 (24 bits)
Octal	0o47045644
Hexadecimal	0x9C4BA4

Divisor Catalog (24)

Collatz Trajectory (189 steps to reach 1)

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

10,242,980 5,121,490 2,560,745 7,682,236 3,841,118 1,920,559 5,761,678 2,880,839 8,642,518 4,321,259 12,963,778 6,481,889 19,445,668 9,722,834 4,861,417 14,584,252 7,292,126 3,646,063 10,938,190 5,469,095 16,407,286 8,203,643 24,610,930 12,305,465 36,916,396 18,458,198 9,229,099 27,687,298 13,843,649 41,530,948 20,765,474 10,382,737 31,148,212 15,574,106 7,787,053 23,361,160 11,680,580 5,840,290 2,920,145 8,760,436 4,380,218 2,190,109 6,570,328 3,285,164 1,642,582 821,291 2,463,874 1,231,937 3,695,812 1,847,906 923,953 2,771,860 1,385,930 692,965 2,078,896 1,039,448 519,724 259,862 129,931 389,794

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