λ
Integer Codex

3,121,863

3 × 17 × 41 × 1493
Deficient Odd Composite

For 3,121,863, the 16 positive divisors have a total of 4,517,856. Removing 3,121,863 leaves 1,395,993, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 41 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,517,856
Proper Divisor Sum 1,395,993
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3121841 ← → #3121873

Radix Representation

Decimal 3121863
Binary 1011111010001011000111 (22 bits)
Octal 0o13721307
Hexadecimal 0x2FA2C7

Divisor Catalog (16)

1 3 17 41 51 123 697 1,493 2,091 4,479 25,381 61,213 76,143 183,639 1,040,621 3,121,863

Collatz Trajectory (195 steps to reach 1)

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

3,121,863 9,365,590 4,682,795 14,048,386 7,024,193 21,072,580 10,536,290 5,268,145 15,804,436 7,902,218 3,951,109 11,853,328 5,926,664 2,963,332 1,481,666 740,833 2,222,500 1,111,250 555,625 1,666,876 833,438 416,719 1,250,158 625,079 1,875,238 937,619 2,812,858 1,406,429 4,219,288 2,109,644 1,054,822 527,411 1,582,234 791,117 2,373,352 1,186,676 593,338 296,669 890,008 445,004 222,502 111,251 333,754 166,877 500,632 250,316 125,158 62,579 187,738 93,869 281,608 140,804 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801

More profiles

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