10,021,492

2² × 13 × 439²

10,021,492 factors as 2^2 × 13 × 439^2. Its 18 positive divisors give a proper-divisor sum of 8,908,286, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 439^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 18,929,778

Proper Divisor Sum 8,908,286

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10021469 ← → #10021499

Radix Representation

Decimal	10021492
Binary	100110001110101001110100 (24 bits)
Octal	0o46165164
Hexadecimal	0x98EA74

Divisor Catalog (18)

1 2 4 13 26 52 439 878 1,756 5,707 11,414 22,828 192,721 385,442 770,884 2,505,373 5,010,746 10,021,492

Collatz Trajectory (158 steps to reach 1)

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

10,021,492 5,010,746 2,505,373 7,516,120 3,758,060 1,879,030 939,515 2,818,546 1,409,273 4,227,820 2,113,910 1,056,955 3,170,866 1,585,433 4,756,300 2,378,150 1,189,075 3,567,226 1,783,613 5,350,840 2,675,420 1,337,710 668,855 2,006,566 1,003,283 3,009,850 1,504,925 4,514,776 2,257,388 1,128,694 564,347 1,693,042 846,521 2,539,564 1,269,782 634,891 1,904,674 952,337 2,857,012 1,428,506 714,253 2,142,760 1,071,380 535,690 267,845 803,536 401,768 200,884 100,442 50,221 150,664 75,332 37,666 18,833 56,500 28,250 14,125 42,376 21,188 10,594

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