λ
Harmonic Matrix

552,908

22 × 17 × 47 × 173
Deficient Even Composite

552,908 has digital root 2. The neighboring primes are 552899 and 552913; its proper-divisor sum differs from the starting integer by -53,464.

Prime Factor Structure

Factorization String 2^2 × 17 × 47 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,052,352
Proper Divisor Sum 499,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #552899 ← → #552913

Radix Representation

Decimal 552908
Binary 10000110111111001100 (20 bits)
Octal 0o2067714
Hexadecimal 0x86FCC

Divisor Catalog (24)

1 2 4 17 34 47 68 94 173 188 346 692 799 1,598 2,941 3,196 5,882 8,131 11,764 16,262 32,524 138,227 276,454 552,908

Collatz Trajectory (177 steps to reach 1)

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

552,908 276,454 138,227 414,682 207,341 622,024 311,012 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

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