λ
Ratio Atlas

663,598

2 × 13 × 25523
Deficient Even Composite

663,598 factors as 2 × 13 × 25523. Its 8 positive divisors give a proper-divisor sum of 408,410, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 13 × 25523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,072,008
Proper Divisor Sum 408,410
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #663589 ← → #663599

Radix Representation

Decimal 663598
Binary 10100010000000101110 (20 bits)
Octal 0o2420056
Hexadecimal 0xA202E

Divisor Catalog (8)

1 2 13 26 25,523 51,046 331,799 663,598

Collatz Trajectory (92 steps to reach 1)

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

663,598 331,799 995,398 497,699 1,493,098 746,549 2,239,648 1,119,824 559,912 279,956 139,978 69,989 209,968 104,984 52,492 26,246 13,123 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118

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