10,071,411

3 × 7² × 131 × 523

10,071,411 factors as 3 × 7^2 × 131 × 523. Its 24 positive divisors give a proper-divisor sum of 5,698,893, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 131 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,770,304

Proper Divisor Sum 5,698,893

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #10071403 ← → #10071419

Radix Representation

Decimal	10071411
Binary	100110011010110101110011 (24 bits)
Octal	0o46326563
Hexadecimal	0x99AD73

Divisor Catalog (24)

Collatz Trajectory (251 steps to reach 1)

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

10,071,411 30,214,234 15,107,117 45,321,352 22,660,676 11,330,338 5,665,169 16,995,508 8,497,754 4,248,877 12,746,632 6,373,316 3,186,658 1,593,329 4,779,988 2,389,994 1,194,997 3,584,992 1,792,496 896,248 448,124 224,062 112,031 336,094 168,047 504,142 252,071 756,214 378,107 1,134,322 567,161 1,701,484 850,742 425,371 1,276,114 638,057 1,914,172 957,086 478,543 1,435,630 717,815 2,153,446 1,076,723 3,230,170 1,615,085 4,845,256 2,422,628 1,211,314 605,657 1,816,972 908,486 454,243 1,362,730 681,365 2,044,096 1,022,048 511,024 255,512 127,756 63,878

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