λ
Zalai Atlas

655,488

27 × 32 × 569
Abundant Even Composite

655,488 has the prime decomposition 2^7 × 3^2 × 569. Its 3 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 569
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,889,550
Proper Divisor Sum 1,234,062
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #655471 ← → #655489

Radix Representation

Decimal 655488
Binary 10100000000010000000 (20 bits)
Octal 0o2400200
Hexadecimal 0xA0080

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 569 576 1,138 1,152 1,707 2,276 3,414 4,552 5,121 6,828 9,104 10,242 13,656 18,208 20,484 27,312 36,416 40,968 54,624 72,832 81,936 109,248 163,872 218,496 327,744 655,488

Collatz Trajectory (48 steps to reach 1)

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

655,488 327,744 163,872 81,936 40,968 20,484 10,242 5,121 15,364 7,682 3,841 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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