3,906,756

2² × 3² × 7 × 37 × 419

3,906,756 factors as 2^2 × 3^2 × 7 × 37 × 419. Its 72 positive divisors give a proper-divisor sum of 7,712,124, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 37 × 419

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,618,880

Proper Divisor Sum 7,712,124

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3906751 ← → #3906769

Radix Representation

Decimal	3906756
Binary	1110111001110011000100 (22 bits)
Octal	0o16716304
Hexadecimal	0x3B9CC4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 419 444 518 666 777 838 1,036 1,257 1,332 1,554 1,676 2,331 2,514 2,933 3,108 3,771 4,662 5,028 5,866 7,542 8,799 9,324 11,732 15,084 15,503 17,598 26,397 31,006 35,196 46,509 52,794 62,012 93,018 105,588 108,521

Collatz Trajectory (79 steps to reach 1)

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

3,906,756 1,953,378 976,689 2,930,068 1,465,034 732,517 2,197,552 1,098,776 549,388 274,694 137,347 412,042 206,021 618,064 309,032 154,516 77,258 38,629 115,888 57,944 28,972 14,486 7,243 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116

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