554,565

3 × 5 × 11 × 3361

554,565 factors as 3 × 5 × 11 × 3361. Its 16 positive divisors give a proper-divisor sum of 413,691, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 968,256

Proper Divisor Sum 413,691

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #554531 ← → #554569

Radix Representation

Decimal	554565
Binary	10000111011001000101 (20 bits)
Octal	0o2073105
Hexadecimal	0x87645

Divisor Catalog (16)

1 3 5 11 15 33 55 165 3,361 10,083 16,805 36,971 50,415 110,913 184,855 554,565

Collatz Trajectory (133 steps to reach 1)

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

554,565 1,663,696 831,848 415,924 207,962 103,981 311,944 155,972 77,986 38,993 116,980 58,490 29,245 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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