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Atlas › Integer Profiles › Node 22,166,404

22,166,404

22 × 13 × 37 × 41 × 281
Deficient Even Composite

22,166,404 factors as 2^2 × 13 × 37 × 41 × 281. Its 48 positive divisors give a proper-divisor sum of 21,940,652, so this integer is deficient. The Collatz stopping time is 309 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 41 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,107,056
Proper Divisor Sum 21,940,652
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #22166383 ← → #22166447

Radix Representation

Decimal 22166404
Binary 1010100100011101110000100 (25 bits)
Octal 0o124435604
Hexadecimal 0x1523B84

Divisor Catalog (48)

1 2 4 13 26 37 41 52 74 82 148 164 281 481 533 562 962 1,066 1,124 1,517 1,924 2,132 3,034 3,653 6,068 7,306 10,397 11,521 14,612 19,721 20,794 23,042 39,442 41,588 46,084 78,884 135,161 149,773 270,322 299,546 426,277 540,644 599,092 852,554 1,705,108 5,541,601 11,083,202 22,166,404

Collatz Trajectory (309 steps to reach 1)

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

22,166,404 11,083,202 5,541,601 16,624,804 8,312,402 4,156,201 12,468,604 6,234,302 3,117,151 9,351,454 4,675,727 14,027,182 7,013,591 21,040,774 10,520,387 31,561,162 15,780,581 47,341,744 23,670,872 11,835,436 5,917,718 2,958,859 8,876,578 4,438,289 13,314,868 6,657,434 3,328,717 9,986,152 4,993,076 2,496,538 1,248,269 3,744,808 1,872,404 936,202 468,101 1,404,304 702,152 351,076 175,538 87,769 263,308 131,654 65,827 197,482 98,741 296,224 148,112 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435

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