λ
Prime Ledger

6,006,615

3 × 5 × 400441
Deficient Odd Composite

6,006,615 has the prime decomposition 3 × 5 × 400441. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 400441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,610,608
Proper Divisor Sum 3,603,993
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6006601 ← → #6006619

Radix Representation

Decimal 6006615
Binary 10110111010011101010111 (23 bits)
Octal 0o26723527
Hexadecimal 0x5BA757

Divisor Catalog (8)

1 3 5 15 400,441 1,201,323 2,002,205 6,006,615

Collatz Trajectory (196 steps to reach 1)

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

6,006,615 18,019,846 9,009,923 27,029,770 13,514,885 40,544,656 20,272,328 10,136,164 5,068,082 2,534,041 7,602,124 3,801,062 1,900,531 5,701,594 2,850,797 8,552,392 4,276,196 2,138,098 1,069,049 3,207,148 1,603,574 801,787 2,405,362 1,202,681 3,608,044 1,804,022 902,011 2,706,034 1,353,017 4,059,052 2,029,526 1,014,763 3,044,290 1,522,145 4,566,436 2,283,218 1,141,609 3,424,828 1,712,414 856,207 2,568,622 1,284,311 3,852,934 1,926,467 5,779,402 2,889,701 8,669,104 4,334,552 2,167,276 1,083,638 541,819 1,625,458 812,729 2,438,188 1,219,094 609,547 1,828,642 914,321 2,742,964 1,371,482

More profiles

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