λ
Sigma Notebook

572,506

2 × 11 × 53 × 491
Deficient Even Composite

572,506 is even and not a perfect square. Its factorization is 2 × 11 × 53 × 491 and its 16 divisors sum to 956,448.

Prime Factor Structure

Factorization String 2 × 11 × 53 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 956,448
Proper Divisor Sum 383,942
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #572497 ← → #572519

Radix Representation

Decimal 572506
Binary 10001011110001011010 (20 bits)
Octal 0o2136132
Hexadecimal 0x8BC5A

Divisor Catalog (16)

1 2 11 22 53 106 491 583 982 1,166 5,401 10,802 26,023 52,046 286,253 572,506

Collatz Trajectory (128 steps to reach 1)

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

572,506 286,253 858,760 429,380 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635

More profiles

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