10,071,631

23² × 79 × 241

10,071,631 factors as 23^2 × 79 × 241. Its 12 positive divisors give a proper-divisor sum of 634,449, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 23^2 × 79 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,706,080

Proper Divisor Sum 634,449

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10071623 ← → #10071637

Radix Representation

Decimal	10071631
Binary	100110011010111001001111 (24 bits)
Octal	0o46327117
Hexadecimal	0x99AE4F

Divisor Catalog (12)

1 23 79 241 529 1,817 5,543 19,039 41,791 127,489 437,897 10,071,631

Collatz Trajectory (251 steps to reach 1)

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

10,071,631 30,214,894 15,107,447 45,322,342 22,661,171 67,983,514 33,991,757 101,975,272 50,987,636 25,493,818 12,746,909 38,240,728 19,120,364 9,560,182 4,780,091 14,340,274 7,170,137 21,510,412 10,755,206 5,377,603 16,132,810 8,066,405 24,199,216 12,099,608 6,049,804 3,024,902 1,512,451 4,537,354 2,268,677 6,806,032 3,403,016 1,701,508 850,754 425,377 1,276,132 638,066 319,033 957,100 478,550 239,275 717,826 358,913 1,076,740 538,370 269,185 807,556 403,778 201,889 605,668 302,834 151,417 454,252 227,126 113,563 340,690 170,345 511,036 255,518 127,759 383,278

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