10,001,289

3 × 313 × 10651

10,001,289 factors as 3 × 313 × 10651. Its 8 positive divisors give a proper-divisor sum of 3,377,623, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3 × 313 × 10651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,378,912

Proper Divisor Sum 3,377,623

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #10001281 ← → #10001311

Radix Representation

Decimal	10001289
Binary	100110001001101110001001 (24 bits)
Octal	0o46115611
Hexadecimal	0x989B89

Divisor Catalog (8)

1 3 313 939 10,651 31,953 3,333,763 10,001,289

Collatz Trajectory (220 steps to reach 1)

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

10,001,289 30,003,868 15,001,934 7,500,967 22,502,902 11,251,451 33,754,354 16,877,177 50,631,532 25,315,766 12,657,883 37,973,650 18,986,825 56,960,476 28,480,238 14,240,119 42,720,358 21,360,179 64,080,538 32,040,269 96,120,808 48,060,404 24,030,202 12,015,101 36,045,304 18,022,652 9,011,326 4,505,663 13,516,990 6,758,495 20,275,486 10,137,743 30,413,230 15,206,615 45,619,846 22,809,923 68,429,770 34,214,885 102,644,656 51,322,328 25,661,164 12,830,582 6,415,291 19,245,874 9,622,937 28,868,812 14,434,406 7,217,203 21,651,610 10,825,805 32,477,416 16,238,708 8,119,354 4,059,677 12,179,032 6,089,516 3,044,758 1,522,379 4,567,138 2,283,569

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,001,288 Browse Full Index Next Integer #10,001,290 →