9,827,181

3² × 7 × 13³ × 71

9,827,181 factors as 3^2 × 7 × 13^3 × 71. Its 48 positive divisors give a proper-divisor sum of 7,994,259, so this integer is deficient. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13^3 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,821,440

Proper Divisor Sum 7,994,259

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9827179 ← → #9827189

Radix Representation

Decimal	9827181
Binary	100101011111001101101101 (24 bits)
Octal	0o45371555
Hexadecimal	0x95F36D

Divisor Catalog (48)

1 3 7 9 13 21 39 63 71 91 117 169 213 273 497 507 639 819 923 1,183 1,491 1,521 2,197 2,769 3,549 4,473 6,461 6,591 8,307 10,647 11,999 15,379 19,383 19,773 35,997 46,137 58,149 83,993 107,991 138,411 155,987 251,979 467,961 755,937 1,091,909 1,403,883 3,275,727 9,827,181

Collatz Trajectory (344 steps to reach 1)

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

9,827,181 29,481,544 14,740,772 7,370,386 3,685,193 11,055,580 5,527,790 2,763,895 8,291,686 4,145,843 12,437,530 6,218,765 18,656,296 9,328,148 4,664,074 2,332,037 6,996,112 3,498,056 1,749,028 874,514 437,257 1,311,772 655,886 327,943 983,830 491,915 1,475,746 737,873 2,213,620 1,106,810 553,405 1,660,216 830,108 415,054 207,527 622,582 311,291 933,874 466,937 1,400,812 700,406 350,203 1,050,610 525,305 1,575,916 787,958 393,979 1,181,938 590,969 1,772,908 886,454 443,227 1,329,682 664,841 1,994,524 997,262 498,631 1,495,894 747,947 2,243,842

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