λ
Sigma Notebook

7,320,506

2 × 17 × 215309
Deficient Even Composite

7,320,506 is even and not a perfect square. Its factorization is 2 × 17 × 215309 and its 8 divisors sum to 11,626,740.

Prime Factor Structure

Factorization String 2 × 17 × 215309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,626,740
Proper Divisor Sum 4,306,234
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7320503 ← → #7320527

Radix Representation

Decimal 7320506
Binary 11011111011001110111010 (23 bits)
Octal 0o33731672
Hexadecimal 0x6FB3BA

Divisor Catalog (8)

1 2 17 34 215,309 430,618 3,660,253 7,320,506

Collatz Trajectory (204 steps to reach 1)

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

7,320,506 3,660,253 10,980,760 5,490,380 2,745,190 1,372,595 4,117,786 2,058,893 6,176,680 3,088,340 1,544,170 772,085 2,316,256 1,158,128 579,064 289,532 144,766 72,383 217,150 108,575 325,726 162,863 488,590 244,295 732,886 366,443 1,099,330 549,665 1,648,996 824,498 412,249 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117 660,352 330,176 165,088 82,544 41,272 20,636 10,318 5,159 15,478 7,739

More profiles

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