λ
Prime Ledger

6,004,575

32 × 52 × 26687
Deficient Odd Composite

6,004,575 has the prime decomposition 3^2 × 5^2 × 26687. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 26687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,755,264
Proper Divisor Sum 4,750,689
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6004571 ← → #6004577

Radix Representation

Decimal 6004575
Binary 10110111001111101011111 (23 bits)
Octal 0o26717537
Hexadecimal 0x5B9F5F

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 26,687 80,061 133,435 240,183 400,305 667,175 1,200,915 2,001,525 6,004,575

Collatz Trajectory (95 steps to reach 1)

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

6,004,575 18,013,726 9,006,863 27,020,590 13,510,295 40,530,886 20,265,443 60,796,330 30,398,165 91,194,496 45,597,248 22,798,624 11,399,312 5,699,656 2,849,828 1,424,914 712,457 2,137,372 1,068,686 534,343 1,603,030 801,515 2,404,546 1,202,273 3,606,820 1,803,410 901,705 2,705,116 1,352,558 676,279 2,028,838 1,014,419 3,043,258 1,521,629 4,564,888 2,282,444 1,141,222 570,611 1,711,834 855,917 2,567,752 1,283,876 641,938 320,969 962,908 481,454 240,727 722,182 361,091 1,083,274 541,637 1,624,912 812,456 406,228 203,114 101,557 304,672 152,336 76,168 38,084

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