10,071,375

3 × 5³ × 107 × 251

10,071,375 factors as 3 × 5^3 × 107 × 251. Its 32 positive divisors give a proper-divisor sum of 6,911,409, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 107 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,982,784

Proper Divisor Sum 6,911,409

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10071367 ← → #10071377

Radix Representation

Decimal	10071375
Binary	100110011010110101001111 (24 bits)
Octal	0o46326517
Hexadecimal	0x99AD4F

Divisor Catalog (32)

Collatz Trajectory (251 steps to reach 1)

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

10,071,375 30,214,126 15,107,063 45,321,190 22,660,595 67,981,786 33,990,893 101,972,680 50,986,340 25,493,170 12,746,585 38,239,756 19,119,878 9,559,939 28,679,818 14,339,909 43,019,728 21,509,864 10,754,932 5,377,466 2,688,733 8,066,200 4,033,100 2,016,550 1,008,275 3,024,826 1,512,413 4,537,240 2,268,620 1,134,310 567,155 1,701,466 850,733 2,552,200 1,276,100 638,050 319,025 957,076 478,538 239,269 717,808 358,904 179,452 89,726 44,863 134,590 67,295 201,886 100,943 302,830 151,415 454,246 227,123 681,370 340,685 1,022,056 511,028 255,514 127,757 383,272

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