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Atlas › Integer Profiles › Node 3,929,328

3,929,328

24 × 32 × 13 × 2099
Abundant Even Composite

3,929,328 factors as 2^4 × 3^2 × 13 × 2099. Its 60 positive divisors give a proper-divisor sum of 7,918,872, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,848,200
Proper Divisor Sum 7,918,872
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3929327 ← → #3929351

Radix Representation

Decimal 3929328
Binary 1110111111010011110000 (22 bits)
Octal 0o16772360
Hexadecimal 0x3BF4F0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 2,099 4,198 6,297 8,396 12,594 16,792 18,891 25,188 27,287 33,584 37,782 50,376 54,574 75,564 81,861 100,752 109,148 151,128 163,722 218,296 245,583 302,256 327,444 436,592 491,166 654,888 982,332 1,309,776 1,964,664 3,929,328

Collatz Trajectory (154 steps to reach 1)

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

3,929,328 1,964,664 982,332 491,166 245,583 736,750 368,375 1,105,126 552,563 1,657,690 828,845 2,486,536 1,243,268 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959 497,878 248,939 746,818 373,409 1,120,228 560,114 280,057 840,172 420,086 210,043 630,130 315,065 945,196 472,598 236,299 708,898 354,449 1,063,348 531,674 265,837 797,512 398,756 199,378 99,689 299,068 149,534

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