4,133,826

2 × 3² × 179 × 1283

4,133,826 factors as 2 × 3^2 × 179 × 1283. Its 24 positive divisors give a proper-divisor sum of 4,879,854, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 1283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,013,680

Proper Divisor Sum 4,879,854

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4133821 ← → #4133837

Radix Representation

Decimal	4133826
Binary	1111110001001111000010 (22 bits)
Octal	0o17611702
Hexadecimal	0x3F13C2

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 1,074 1,283 1,611 2,566 3,222 3,849 7,698 11,547 23,094 229,657 459,314 688,971 1,377,942 2,066,913 4,133,826

Collatz Trajectory (167 steps to reach 1)

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

4,133,826 2,066,913 6,200,740 3,100,370 1,550,185 4,650,556 2,325,278 1,162,639 3,487,918 1,743,959 5,231,878 2,615,939 7,847,818 3,923,909 11,771,728 5,885,864 2,942,932 1,471,466 735,733 2,207,200 1,103,600 551,800 275,900 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224

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