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Atlas › Integer Profiles › Node 3,888,872

3,888,872

23 × 13 × 61 × 613
Abundant Even Composite

3,888,872 factors as 2^3 × 13 × 61 × 613. Its 32 positive divisors give a proper-divisor sum of 4,105,408, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 61 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,994,280
Proper Divisor Sum 4,105,408
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3888851 ← → #3888887

Radix Representation

Decimal 3888872
Binary 1110110101011011101000 (22 bits)
Octal 0o16653350
Hexadecimal 0x3B56E8

Divisor Catalog (32)

1 2 4 8 13 26 52 61 104 122 244 488 613 793 1,226 1,586 2,452 3,172 4,904 6,344 7,969 15,938 31,876 37,393 63,752 74,786 149,572 299,144 486,109 972,218 1,944,436 3,888,872

Collatz Trajectory (97 steps to reach 1)

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

3,888,872 1,944,436 972,218 486,109 1,458,328 729,164 364,582 182,291 546,874 273,437 820,312 410,156 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000

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