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Atlas › Integer Profiles › Node 3,947,744

3,947,744

25 × 19 × 43 × 151
Abundant Even Composite

3,947,744 factors as 2^5 × 19 × 43 × 151. Its 48 positive divisors give a proper-divisor sum of 4,479,136, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 43 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,426,880
Proper Divisor Sum 4,479,136
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3947693 ← → #3947747

Radix Representation

Decimal 3947744
Binary 1111000011110011100000 (22 bits)
Octal 0o17036340
Hexadecimal 0x3C3CE0

Divisor Catalog (48)

1 2 4 8 16 19 32 38 43 76 86 151 152 172 302 304 344 604 608 688 817 1,208 1,376 1,634 2,416 2,869 3,268 4,832 5,738 6,493 6,536 11,476 12,986 13,072 22,952 25,972 26,144 45,904 51,944 91,808 103,888 123,367 207,776 246,734 493,468 986,936 1,973,872 3,947,744

Collatz Trajectory (141 steps to reach 1)

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

3,947,744 1,973,872 986,936 493,468 246,734 123,367 370,102 185,051 555,154 277,577 832,732 416,366 208,183 624,550 312,275 936,826 468,413 1,405,240 702,620 351,310 175,655 526,966 263,483 790,450 395,225 1,185,676 592,838 296,419 889,258 444,629 1,333,888 666,944 333,472 166,736 83,368 41,684 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700

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