10,244,493

3² × 7 × 162611

10,244,493 factors as 3^2 × 7 × 162611. Its 12 positive divisors give a proper-divisor sum of 6,667,155, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 162611

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,911,648

Proper Divisor Sum 6,667,155

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10244473 ← → #10244497

Radix Representation

Decimal	10244493
Binary	100111000101000110001101 (24 bits)
Octal	0o47050615
Hexadecimal	0x9C518D

Divisor Catalog (12)

1 3 7 9 21 63 162,611 487,833 1,138,277 1,463,499 3,414,831 10,244,493

Collatz Trajectory (127 steps to reach 1)

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

10,244,493 30,733,480 15,366,740 7,683,370 3,841,685 11,525,056 5,762,528 2,881,264 1,440,632 720,316 360,158 180,079 540,238 270,119 810,358 405,179 1,215,538 607,769 1,823,308 911,654 455,827 1,367,482 683,741 2,051,224 1,025,612 512,806 256,403 769,210 384,605 1,153,816 576,908 288,454 144,227 432,682 216,341 649,024 324,512 162,256 81,128 40,564 20,282 10,141 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834

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