λ
Sigma Notebook

609,741

33 × 11 × 2053
Deficient Odd Composite

609,741 is odd and not a perfect square. Its factorization is 3^3 × 11 × 2053 and its 16 divisors sum to 985,920.

Prime Factor Structure

Factorization String 3^3 × 11 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 985,920
Proper Divisor Sum 376,179
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #609709 ← → #609743

Radix Representation

Decimal 609741
Binary 10010100110111001101 (20 bits)
Octal 0o2246715
Hexadecimal 0x94DCD

Divisor Catalog (16)

1 3 9 11 27 33 99 297 2,053 6,159 18,477 22,583 55,431 67,749 203,247 609,741

Collatz Trajectory (40 steps to reach 1)

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

609,741 1,829,224 914,612 457,306 228,653 685,960 342,980 171,490 85,745 257,236 128,618 64,309 192,928 96,464 48,232 24,116 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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