59,080,940

2² × 5 × 61 × 79 × 613

59,080,940 factors as 2^2 × 5 × 61 × 79 × 613. Its 48 positive divisors give a proper-divisor sum of 68,827,540, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 79 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 127,908,480

Proper Divisor Sum 68,827,540

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #59080913 ← → #59080961

Radix Representation

Decimal	59080940
Binary	11100001011000000011101100 (26 bits)
Octal	0o341300354
Hexadecimal	0x38580EC

Divisor Catalog (48)

Collatz Trajectory (238 steps to reach 1)

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

59,080,940 29,540,470 14,770,235 44,310,706 22,155,353 66,466,060 33,233,030 16,616,515 49,849,546 24,924,773 74,774,320 37,387,160 18,693,580 9,346,790 4,673,395 14,020,186 7,010,093 21,030,280 10,515,140 5,257,570 2,628,785 7,886,356 3,943,178 1,971,589 5,914,768 2,957,384 1,478,692 739,346 369,673 1,109,020 554,510 277,255 831,766 415,883 1,247,650 623,825 1,871,476 935,738 467,869 1,403,608 701,804 350,902 175,451 526,354 263,177 789,532 394,766 197,383 592,150 296,075 888,226 444,113 1,332,340 666,170 333,085 999,256 499,628 249,814 124,907 374,722

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