λ
Integer Codex

6,003,011

7 × 857573
Deficient Odd Composite

For 6,003,011, the 4 positive divisors have a total of 6,860,592. Removing 6,003,011 leaves 857,581, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 857573
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,860,592
Proper Divisor Sum 857,581
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #6003007 ← → #6003043

Radix Representation

Decimal 6003011
Binary 10110111001100101000011 (23 bits)
Octal 0o26714503
Hexadecimal 0x5B9943

Divisor Catalog (4)

1 7 857,573 6,003,011

Collatz Trajectory (152 steps to reach 1)

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

6,003,011 18,009,034 9,004,517 27,013,552 13,506,776 6,753,388 3,376,694 1,688,347 5,065,042 2,532,521 7,597,564 3,798,782 1,899,391 5,698,174 2,849,087 8,547,262 4,273,631 12,820,894 6,410,447 19,231,342 9,615,671 28,847,014 14,423,507 43,270,522 21,635,261 64,905,784 32,452,892 16,226,446 8,113,223 24,339,670 12,169,835 36,509,506 18,254,753 54,764,260 27,382,130 13,691,065 41,073,196 20,536,598 10,268,299 30,804,898 15,402,449 46,207,348 23,103,674 11,551,837 34,655,512 17,327,756 8,663,878 4,331,939 12,995,818 6,497,909 19,493,728 9,746,864 4,873,432 2,436,716 1,218,358 609,179 1,827,538 913,769 2,741,308 1,370,654

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