8,301,940

2² × 5 × 415097

8,301,940 factors as 2^2 × 5 × 415097. Its 12 positive divisors give a proper-divisor sum of 9,132,176, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 415097

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,434,116

Proper Divisor Sum 9,132,176

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8301911 ← → #8301947

Radix Representation

Decimal	8301940
Binary	11111101010110101110100 (23 bits)
Octal	0o37526564
Hexadecimal	0x7EAD74

Divisor Catalog (12)

1 2 4 5 10 20 415,097 830,194 1,660,388 2,075,485 4,150,970 8,301,940

Collatz Trajectory (199 steps to reach 1)

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

8,301,940 4,150,970 2,075,485 6,226,456 3,113,228 1,556,614 778,307 2,334,922 1,167,461 3,502,384 1,751,192 875,596 437,798 218,899 656,698 328,349 985,048 492,524 246,262 123,131 369,394 184,697 554,092 277,046 138,523 415,570 207,785 623,356 311,678 155,839 467,518 233,759 701,278 350,639 1,051,918 525,959 1,577,878 788,939 2,366,818 1,183,409 3,550,228 1,775,114 887,557 2,662,672 1,331,336 665,668 332,834 166,417 499,252 249,626 124,813 374,440 187,220 93,610 46,805 140,416 70,208 35,104 17,552 8,776

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