λ
Sigma Notebook

207,006

2 × 3 × 34501
Abundant Even Composite

207,006 is even and not a perfect square. Its factorization is 2 × 3 × 34501 and its 8 divisors sum to 414,024.

Prime Factor Structure

Factorization String 2 × 3 × 34501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 414,024
Proper Divisor Sum 207,018
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #206993 ← → #207013

Radix Representation

Decimal 207006
Binary 110010100010011110 (18 bits)
Octal 0o624236
Hexadecimal 0x3289E

Divisor Catalog (8)

1 2 3 6 34,501 69,002 103,503 207,006

Collatz Trajectory (142 steps to reach 1)

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

207,006 103,503 310,510 155,255 465,766 232,883 698,650 349,325 1,047,976 523,988 261,994 130,997 392,992 196,496 98,248 49,124 24,562 12,281 36,844 18,422 9,211 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

More profiles

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