λ
Integer Codex

6,565,609

6565609
Deficient Odd Prime

For 6,565,609, the 2 positive divisors have a total of 6,565,610. Removing 6,565,609 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 6565609
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,565,610
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6565567 ← → #6565633

Radix Representation

Decimal 6565609
Binary 11001000010111011101001 (23 bits)
Octal 0o31027351
Hexadecimal 0x642EE9

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

6,565,609 19,696,828 9,848,414 4,924,207 14,772,622 7,386,311 22,158,934 11,079,467 33,238,402 16,619,201 49,857,604 24,928,802 12,464,401 37,393,204 18,696,602 9,348,301 28,044,904 14,022,452 7,011,226 3,505,613 10,516,840 5,258,420 2,629,210 1,314,605 3,943,816 1,971,908 985,954 492,977 1,478,932 739,466 369,733 1,109,200 554,600 277,300 138,650 69,325 207,976 103,988 51,994 25,997 77,992 38,996 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160

More profiles

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