540,996

2² × 3 × 45083

For 540,996, the 12 positive divisors have a total of 1,262,352. Removing 540,996 leaves 721,356, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 45083

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,262,352

Proper Divisor Sum 721,356

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #540989 ← → #541001

Radix Representation

Decimal	540996
Binary	10000100000101000100 (20 bits)
Octal	0o2040504
Hexadecimal	0x84144

Divisor Catalog (12)

1 2 3 4 6 12 45,083 90,166 135,249 180,332 270,498 540,996

Collatz Trajectory (63 steps to reach 1)

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

540,996 270,498 135,249 405,748 202,874 101,437 304,312 152,156 76,078 38,039 114,118 57,059 171,178 85,589 256,768 128,384 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16

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