λ
Integer Codex

3,122,985

3 × 5 × 17 × 37 × 331
Deficient Odd Composite

For 3,122,985, the 32 positive divisors have a total of 5,450,112. Removing 3,122,985 leaves 2,327,127, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 37 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,450,112
Proper Divisor Sum 2,327,127
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3122983 ← → #3122989

Radix Representation

Decimal 3122985
Binary 1011111010011100101001 (22 bits)
Octal 0o13723451
Hexadecimal 0x2FA729

Divisor Catalog (32)

1 3 5 15 17 37 51 85 111 185 255 331 555 629 993 1,655 1,887 3,145 4,965 5,627 9,435 12,247 16,881 28,135 36,741 61,235 84,405 183,705 208,199 624,597 1,040,995 3,122,985

Collatz Trajectory (133 steps to reach 1)

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

3,122,985 9,368,956 4,684,478 2,342,239 7,026,718 3,513,359 10,540,078 5,270,039 15,810,118 7,905,059 23,715,178 11,857,589 35,572,768 17,786,384 8,893,192 4,446,596 2,223,298 1,111,649 3,334,948 1,667,474 833,737 2,501,212 1,250,606 625,303 1,875,910 937,955 2,813,866 1,406,933 4,220,800 2,110,400 1,055,200 527,600 263,800 131,900 65,950 32,975 98,926 49,463 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852

More profiles

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