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Atlas › Integer Profiles › Node 28,482,003

28,482,003

33 × 11 × 41 × 2339
Deficient Odd Composite

28,482,003 factors as 3^3 × 11 × 41 × 2339. Its 32 positive divisors give a proper-divisor sum of 18,692,397, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 41 × 2339
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,174,400
Proper Divisor Sum 18,692,397
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28482001 ← → #28482023

Radix Representation

Decimal 28482003
Binary 1101100101001100111010011 (25 bits)
Octal 0o154514723
Hexadecimal 0x1B299D3

Divisor Catalog (32)

1 3 9 11 27 33 41 99 123 297 369 451 1,107 1,353 2,339 4,059 7,017 12,177 21,051 25,729 63,153 77,187 95,899 231,561 287,697 694,683 863,091 1,054,889 2,589,273 3,164,667 9,494,001 28,482,003

Collatz Trajectory (105 steps to reach 1)

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

28,482,003 85,446,010 42,723,005 128,169,016 64,084,508 32,042,254 16,021,127 48,063,382 24,031,691 72,095,074 36,047,537 108,142,612 54,071,306 27,035,653 81,106,960 40,553,480 20,276,740 10,138,370 5,069,185 15,207,556 7,603,778 3,801,889 11,405,668 5,702,834 2,851,417 8,554,252 4,277,126 2,138,563 6,415,690 3,207,845 9,623,536 4,811,768 2,405,884 1,202,942 601,471 1,804,414 902,207 2,706,622 1,353,311 4,059,934 2,029,967 6,089,902 3,044,951 9,134,854 4,567,427 13,702,282 6,851,141 20,553,424 10,276,712 5,138,356 2,569,178 1,284,589 3,853,768 1,926,884 963,442 481,721 1,445,164 722,582 361,291 1,083,874

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