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4,608,942

2 × 3 × 13 × 37 × 1597
Abundant Even Composite

4,608,942 factors as 2 × 3 × 13 × 37 × 1597. Its 32 positive divisors give a proper-divisor sum of 5,592,690, so this integer is abundant. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 37 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,201,632
Proper Divisor Sum 5,592,690
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4608917 ← → #4608943

Radix Representation

Decimal 4608942
Binary 10001100101001110101110 (23 bits)
Octal 0o21451656
Hexadecimal 0x4653AE

Divisor Catalog (32)

1 2 3 6 13 26 37 39 74 78 111 222 481 962 1,443 1,597 2,886 3,194 4,791 9,582 20,761 41,522 59,089 62,283 118,178 124,566 177,267 354,534 768,157 1,536,314 2,304,471 4,608,942

Collatz Trajectory (255 steps to reach 1)

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

4,608,942 2,304,471 6,913,414 3,456,707 10,370,122 5,185,061 15,555,184 7,777,592 3,888,796 1,944,398 972,199 2,916,598 1,458,299 4,374,898 2,187,449 6,562,348 3,281,174 1,640,587 4,921,762 2,460,881 7,382,644 3,691,322 1,845,661 5,536,984 2,768,492 1,384,246 692,123 2,076,370 1,038,185 3,114,556 1,557,278 778,639 2,335,918 1,167,959 3,503,878 1,751,939 5,255,818 2,627,909 7,883,728 3,941,864 1,970,932 985,466 492,733 1,478,200 739,100 369,550 184,775 554,326 277,163 831,490 415,745 1,247,236 623,618 311,809 935,428 467,714 233,857 701,572 350,786 175,393

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