λ
Sigma Notebook

1,478,521

11 × 257 × 523
Deficient Odd Composite

1,478,521 is odd and not a perfect square. Its factorization is 11 × 257 × 523 and its 8 divisors sum to 1,622,304.

Prime Factor Structure

Factorization String 11 × 257 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,622,304
Proper Divisor Sum 143,783
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1478513 ← → #1478549

Radix Representation

Decimal 1478521
Binary 101101000111101111001 (21 bits)
Octal 0o5507571
Hexadecimal 0x168F79

Divisor Catalog (8)

1 11 257 523 2,827 5,753 134,411 1,478,521

Collatz Trajectory (168 steps to reach 1)

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

1,478,521 4,435,564 2,217,782 1,108,891 3,326,674 1,663,337 4,990,012 2,495,006 1,247,503 3,742,510 1,871,255 5,613,766 2,806,883 8,420,650 4,210,325 12,630,976 6,315,488 3,157,744 1,578,872 789,436 394,718 197,359 592,078 296,039 888,118 444,059 1,332,178 666,089 1,998,268 999,134 499,567 1,498,702 749,351 2,248,054 1,124,027 3,372,082 1,686,041 5,058,124 2,529,062 1,264,531 3,793,594 1,896,797 5,690,392 2,845,196 1,422,598 711,299 2,133,898 1,066,949 3,200,848 1,600,424 800,212 400,106 200,053 600,160 300,080 150,040 75,020 37,510 18,755 56,266

More profiles

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