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Atlas › Integer Profiles › Node 3,929,148

3,929,148

22 × 34 × 67 × 181
Abundant Even Composite

3,929,148 factors as 2^2 × 3^4 × 67 × 181. Its 60 positive divisors give a proper-divisor sum of 6,553,324, so this integer is abundant. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 67 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,482,472
Proper Divisor Sum 6,553,324
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3929131 ← → #3929161

Radix Representation

Decimal 3929148
Binary 1110111111010000111100 (22 bits)
Octal 0o16772074
Hexadecimal 0x3BF43C

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 181 201 268 324 362 402 543 603 724 804 1,086 1,206 1,629 1,809 2,172 2,412 3,258 3,618 4,887 5,427 6,516 7,236 9,774 10,854 12,127 14,661 19,548 21,708 24,254 29,322 36,381 48,508 58,644 72,762 109,143 145,524 218,286 327,429 436,572 654,858 982,287 1,309,716 1,964,574 3,929,148

Collatz Trajectory (322 steps to reach 1)

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

3,929,148 1,964,574 982,287 2,946,862 1,473,431 4,420,294 2,210,147 6,630,442 3,315,221 9,945,664 4,972,832 2,486,416 1,243,208 621,604 310,802 155,401 466,204 233,102 116,551 349,654 174,827 524,482 262,241 786,724 393,362 196,681 590,044 295,022 147,511 442,534 221,267 663,802 331,901 995,704 497,852 248,926 124,463 373,390 186,695 560,086 280,043 840,130 420,065 1,260,196 630,098 315,049 945,148 472,574 236,287 708,862 354,431 1,063,294 531,647 1,594,942 797,471 2,392,414 1,196,207 3,588,622 1,794,311 5,382,934

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