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Atlas › Integer Profiles › Node 20,184,764

20,184,764

22 × 19 × 349 × 761
Deficient Even Composite

20,184,764 factors as 2^2 × 19 × 349 × 761. Its 24 positive divisors give a proper-divisor sum of 17,153,236, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 349 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 37,338,000
Proper Divisor Sum 17,153,236
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #20184733 ← → #20184767

Radix Representation

Decimal 20184764
Binary 1001100111111111010111100 (25 bits)
Octal 0o114777274
Hexadecimal 0x133FEBC

Divisor Catalog (24)

1 2 4 19 38 76 349 698 761 1,396 1,522 3,044 6,631 13,262 14,459 26,524 28,918 57,836 265,589 531,178 1,062,356 5,046,191 10,092,382 20,184,764

Collatz Trajectory (133 steps to reach 1)

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

20,184,764 10,092,382 5,046,191 15,138,574 7,569,287 22,707,862 11,353,931 34,061,794 17,030,897 51,092,692 25,546,346 12,773,173 38,319,520 19,159,760 9,579,880 4,789,940 2,394,970 1,197,485 3,592,456 1,796,228 898,114 449,057 1,347,172 673,586 336,793 1,010,380 505,190 252,595 757,786 378,893 1,136,680 568,340 284,170 142,085 426,256 213,128 106,564 53,282 26,641 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562

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