λ
Integer Codex

1,728,527

1728527
Deficient Odd Prime

For 1,728,527, the 2 positive divisors have a total of 1,728,528. Removing 1,728,527 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1728527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,728,528
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1728511 ← → #1728539

Radix Representation

Decimal 1728527
Binary 110100110000000001111 (21 bits)
Octal 0o6460017
Hexadecimal 0x1A600F

Divisor Catalog (2)

1 1,728,527

Collatz Trajectory (181 steps to reach 1)

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

1,728,527 5,185,582 2,592,791 7,778,374 3,889,187 11,667,562 5,833,781 17,501,344 8,750,672 4,375,336 2,187,668 1,093,834 546,917 1,640,752 820,376 410,188 205,094 102,547 307,642 153,821 461,464 230,732 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782

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