λ
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Atlas › Integer Profiles › Node 28,114,875

28,114,875

32 × 53 × 67 × 373
Deficient Odd Composite

28,114,875 factors as 3^2 × 5^3 × 67 × 373. Its 48 positive divisors give a proper-divisor sum of 23,461,221, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 67 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,576,096
Proper Divisor Sum 23,461,221
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #28114873 ← → #28114897

Radix Representation

Decimal 28114875
Binary 1101011001111111110111011 (25 bits)
Octal 0o153177673
Hexadecimal 0x1ACFFBB

Divisor Catalog (48)

1 3 5 9 15 25 45 67 75 125 201 225 335 373 375 603 1,005 1,119 1,125 1,675 1,865 3,015 3,357 5,025 5,595 8,375 9,325 15,075 16,785 24,991 25,125 27,975 46,625 74,973 75,375 83,925 124,955 139,875 224,919 374,865 419,625 624,775 1,124,595 1,874,325 3,123,875 5,622,975 9,371,625 28,114,875

Collatz Trajectory (154 steps to reach 1)

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

28,114,875 84,344,626 42,172,313 126,516,940 63,258,470 31,629,235 94,887,706 47,443,853 142,331,560 71,165,780 35,582,890 17,791,445 53,374,336 26,687,168 13,343,584 6,671,792 3,335,896 1,667,948 833,974 416,987 1,250,962 625,481 1,876,444 938,222 469,111 1,407,334 703,667 2,111,002 1,055,501 3,166,504 1,583,252 791,626 395,813 1,187,440 593,720 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321

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