4,179,744

2⁵ × 3² × 23 × 631

4,179,744 factors as 2^5 × 3^2 × 23 × 631. Its 72 positive divisors give a proper-divisor sum of 8,242,848, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,422,592

Proper Divisor Sum 8,242,848

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4179743 ← → #4179803

Radix Representation

Decimal	4179744
Binary	1111111100011100100000 (22 bits)
Octal	0o17743440
Hexadecimal	0x3FC720

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 631 736 828 1,104 1,262 1,656 1,893 2,208 2,524 3,312 3,786 5,048 5,679 6,624 7,572 10,096 11,358 14,513 15,144 20,192 22,716 29,026 30,288 43,539 45,432 58,052 60,576 87,078 90,864 116,104 130,617

Collatz Trajectory (136 steps to reach 1)

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

4,179,744 2,089,872 1,044,936 522,468 261,234 130,617 391,852 195,926 97,963 293,890 146,945 440,836 220,418 110,209 330,628 165,314 82,657 247,972 123,986 61,993 185,980 92,990 46,495 139,486 69,743 209,230 104,615 313,846 156,923 470,770 235,385 706,156 353,078 176,539 529,618 264,809 794,428 397,214 198,607 595,822 297,911 893,734 446,867 1,340,602 670,301 2,010,904 1,005,452 502,726 251,363 754,090 377,045 1,131,136 565,568 282,784 141,392 70,696 35,348 17,674 8,837 26,512

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