1,355,013

3² × 11 × 13687

1,355,013 is odd and not a perfect square. Its factorization is 3^2 × 11 × 13687 and its 12 divisors sum to 2,135,328.

Prime Factor Structure

Factorization String 3^2 × 11 × 13687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,135,328

Proper Divisor Sum 780,315

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1354987 ← → #1355021

Radix Representation

Decimal	1355013
Binary	101001010110100000101 (21 bits)
Octal	0o5126405
Hexadecimal	0x14AD05

Divisor Catalog (12)

1 3 9 11 33 99 13,687 41,061 123,183 150,557 451,671 1,355,013

Collatz Trajectory (155 steps to reach 1)

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

1,355,013 4,065,040 2,032,520 1,016,260 508,130 254,065 762,196 381,098 190,549 571,648 285,824 142,912 71,456 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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