λ
Integer Codex

6,008,778

2 × 32 × 333821
Abundant Even Composite

For 6,008,778, the 12 positive divisors have a total of 13,019,058. Removing 6,008,778 leaves 7,010,280, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 333821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,019,058
Proper Divisor Sum 7,010,280
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6008759 ← → #6008789

Radix Representation

Decimal 6008778
Binary 10110111010111111001010 (23 bits)
Octal 0o26727712
Hexadecimal 0x5BAFCA

Divisor Catalog (12)

1 2 3 6 9 18 333,821 667,642 1,001,463 2,002,926 3,004,389 6,008,778

Collatz Trajectory (333 steps to reach 1)

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

6,008,778 3,004,389 9,013,168 4,506,584 2,253,292 1,126,646 563,323 1,689,970 844,985 2,534,956 1,267,478 633,739 1,901,218 950,609 2,851,828 1,425,914 712,957 2,138,872 1,069,436 534,718 267,359 802,078 401,039 1,203,118 601,559 1,804,678 902,339 2,707,018 1,353,509 4,060,528 2,030,264 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670

More profiles

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