λ
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Atlas › Integer Profiles › Node 18,392,548

18,392,548

22 × 23 × 31 × 6449
Deficient Even Composite

18,392,548 factors as 2^2 × 23 × 31 × 6449. Its 24 positive divisors give a proper-divisor sum of 16,282,652, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 6449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,675,200
Proper Divisor Sum 16,282,652
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #18392533 ← → #18392573

Radix Representation

Decimal 18392548
Binary 1000110001010010111100100 (25 bits)
Octal 0o106122744
Hexadecimal 0x118A5E4

Divisor Catalog (24)

1 2 4 23 31 46 62 92 124 713 1,426 2,852 6,449 12,898 25,796 148,327 199,919 296,654 399,838 593,308 799,676 4,598,137 9,196,274 18,392,548

Collatz Trajectory (288 steps to reach 1)

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

18,392,548 9,196,274 4,598,137 13,794,412 6,897,206 3,448,603 10,345,810 5,172,905 15,518,716 7,759,358 3,879,679 11,639,038 5,819,519 17,458,558 8,729,279 26,187,838 13,093,919 39,281,758 19,640,879 58,922,638 29,461,319 88,383,958 44,191,979 132,575,938 66,287,969 198,863,908 99,431,954 49,715,977 149,147,932 74,573,966 37,286,983 111,860,950 55,930,475 167,791,426 83,895,713 251,687,140 125,843,570 62,921,785 188,765,356 94,382,678 47,191,339 141,574,018 70,787,009 212,361,028 106,180,514 53,090,257 159,270,772 79,635,386 39,817,693 119,453,080 59,726,540 29,863,270 14,931,635 44,794,906 22,397,453 67,192,360 33,596,180 16,798,090 8,399,045 25,197,136

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