9,842,180

2² × 5 × 151 × 3259

9,842,180 factors as 2^2 × 5 × 151 × 3259. Its 24 positive divisors give a proper-divisor sum of 10,969,660, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 151 × 3259

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,811,840

Proper Divisor Sum 10,969,660

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9842179 ← → #9842197

Radix Representation

Decimal	9842180
Binary	100101100010111000000100 (24 bits)
Octal	0o45427004
Hexadecimal	0x962E04

Divisor Catalog (24)

Collatz Trajectory (282 steps to reach 1)

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

9,842,180 4,921,090 2,460,545 7,381,636 3,690,818 1,845,409 5,536,228 2,768,114 1,384,057 4,152,172 2,076,086 1,038,043 3,114,130 1,557,065 4,671,196 2,335,598 1,167,799 3,503,398 1,751,699 5,255,098 2,627,549 7,882,648 3,941,324 1,970,662 985,331 2,955,994 1,477,997 4,433,992 2,216,996 1,108,498 554,249 1,662,748 831,374 415,687 1,247,062 623,531 1,870,594 935,297 2,805,892 1,402,946 701,473 2,104,420 1,052,210 526,105 1,578,316 789,158 394,579 1,183,738 591,869 1,775,608 887,804 443,902 221,951 665,854 332,927 998,782 499,391 1,498,174 749,087 2,247,262

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