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Atlas › Integer Profiles › Node 3,930,784

3,930,784

25 × 11 × 13 × 859
Abundant Even Composite

3,930,784 factors as 2^5 × 11 × 13 × 859. Its 48 positive divisors give a proper-divisor sum of 5,171,456, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,102,240
Proper Divisor Sum 5,171,456
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3930767 ← → #3930799

Radix Representation

Decimal 3930784
Binary 1110111111101010100000 (22 bits)
Octal 0o16775240
Hexadecimal 0x3BFAA0

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 859 1,144 1,718 2,288 3,436 4,576 6,872 9,449 11,167 13,744 18,898 22,334 27,488 37,796 44,668 75,592 89,336 122,837 151,184 178,672 245,674 302,368 357,344 491,348 982,696 1,965,392 3,930,784

Collatz Trajectory (141 steps to reach 1)

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

3,930,784 1,965,392 982,696 491,348 245,674 122,837 368,512 184,256 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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