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Atlas › Integer Profiles › Node 3,949,176

3,949,176

23 × 3 × 7 × 11 × 2137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 2137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,314,880
Proper Divisor Sum 8,365,704
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3949157 ← → #3949177

Radix Representation

Decimal 3949176
Binary 1111000100001001111000 (22 bits)
Octal 0o17041170
Hexadecimal 0x3C4278

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1,848 2,137 4,274 6,411 8,548 12,822 14,959 17,096 23,507 25,644 29,918 44,877 47,014 51,288 59,836 70,521 89,754 94,028 119,672 141,042 164,549 179,508 188,056 282,084 329,098 359,016 493,647 564,168 658,196

Collatz Trajectory (141 steps to reach 1)

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

3,949,176 1,974,588 987,294 493,647 1,480,942 740,471 2,221,414 1,110,707 3,332,122 1,666,061 4,998,184 2,499,092 1,249,546 624,773 1,874,320 937,160 468,580 234,290 117,145 351,436 175,718 87,859 263,578 131,789 395,368 197,684 98,842 49,421 148,264 74,132 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700

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