9,803,188

2² × 61 × 40177

9,803,188 factors as 2^2 × 61 × 40177. Its 12 positive divisors give a proper-divisor sum of 7,634,064, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 40177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,437,252

Proper Divisor Sum 7,634,064

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9803179 ← → #9803191

Radix Representation

Decimal	9803188
Binary	100101011001010110110100 (24 bits)
Octal	0o45312664
Hexadecimal	0x9595B4

Divisor Catalog (12)

1 2 4 61 122 244 40,177 80,354 160,708 2,450,797 4,901,594 9,803,188

Collatz Trajectory (176 steps to reach 1)

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

9,803,188 4,901,594 2,450,797 7,352,392 3,676,196 1,838,098 919,049 2,757,148 1,378,574 689,287 2,067,862 1,033,931 3,101,794 1,550,897 4,652,692 2,326,346 1,163,173 3,489,520 1,744,760 872,380 436,190 218,095 654,286 327,143 981,430 490,715 1,472,146 736,073 2,208,220 1,104,110 552,055 1,656,166 828,083 2,484,250 1,242,125 3,726,376 1,863,188 931,594 465,797 1,397,392 698,696 349,348 174,674 87,337 262,012 131,006 65,503 196,510 98,255 294,766 147,383 442,150 221,075 663,226 331,613 994,840 497,420 248,710 124,355 373,066

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