λ
Modular Archive

3,006,207

33 × 111341
Deficient Odd Composite

The decimal integer 3,006,207 is 1011011101111011111111 in binary (22 bits), 13357377 in octal and 2DDEFF in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^3 × 111341
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,453,680
Proper Divisor Sum 1,447,473
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3006193 ← → #3006233

Radix Representation

Decimal 3006207
Binary 1011011101111011111111 (22 bits)
Octal 0o13357377
Hexadecimal 0x2DDEFF

Divisor Catalog (8)

1 3 9 27 111,341 334,023 1,002,069 3,006,207

Collatz Trajectory (213 steps to reach 1)

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

3,006,207 9,018,622 4,509,311 13,527,934 6,763,967 20,291,902 10,145,951 30,437,854 15,218,927 45,656,782 22,828,391 68,485,174 34,242,587 102,727,762 51,363,881 154,091,644 77,045,822 38,522,911 115,568,734 57,784,367 173,353,102 86,676,551 260,029,654 130,014,827 390,044,482 195,022,241 585,066,724 292,533,362 146,266,681 438,800,044 219,400,022 109,700,011 329,100,034 164,550,017 493,650,052 246,825,026 123,412,513 370,237,540 185,118,770 92,559,385 277,678,156 138,839,078 69,419,539 208,258,618 104,129,309 312,387,928 156,193,964 78,096,982 39,048,491 117,145,474 58,572,737 175,718,212 87,859,106 43,929,553 131,788,660 65,894,330 32,947,165 98,841,496 49,420,748 24,710,374

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