27,603

3² × 3067

27,603 has digital root 9. The neighboring primes are 27583 and 27611; its proper-divisor sum differs from the starting integer by -15,322.

Prime Factor Structure

Factorization String 3^2 × 3067

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 39,884

Proper Divisor Sum 12,281

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27583 ← → #27611

Radix Representation

Decimal	27603
Binary	110101111010011 (15 bits)
Octal	0o65723
Hexadecimal	0x6BD3

Divisor Catalog (6)

1 3 9 3,067 9,201 27,603

Collatz Trajectory (121 steps to reach 1)

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

27,603 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826

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