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Atlas › Integer Profiles › Node 3,904,804

3,904,804

22 × 19 × 191 × 269
Deficient Even Composite

3,904,804 factors as 2^2 × 19 × 191 × 269. Its 24 positive divisors give a proper-divisor sum of 3,352,796, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 191 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 3,352,796
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3904801 ← → #3904829

Radix Representation

Decimal 3904804
Binary 1110111001010100100100 (22 bits)
Octal 0o16712444
Hexadecimal 0x3B9524

Divisor Catalog (24)

1 2 4 19 38 76 191 269 382 538 764 1,076 3,629 5,111 7,258 10,222 14,516 20,444 51,379 102,758 205,516 976,201 1,952,402 3,904,804

Collatz Trajectory (128 steps to reach 1)

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

3,904,804 1,952,402 976,201 2,928,604 1,464,302 732,151 2,196,454 1,098,227 3,294,682 1,647,341 4,942,024 2,471,012 1,235,506 617,753 1,853,260 926,630 463,315 1,389,946 694,973 2,084,920 1,042,460 521,230 260,615 781,846 390,923 1,172,770 586,385 1,759,156 879,578 439,789 1,319,368 659,684 329,842 164,921 494,764 247,382 123,691 371,074 185,537 556,612 278,306 139,153 417,460 208,730 104,365 313,096 156,548 78,274 39,137 117,412 58,706 29,353 88,060 44,030 22,015 66,046 33,023 99,070 49,535 148,606

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