λ
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635,205

3 × 5 × 17 × 47 × 53
Deficient Odd Composite

635,205 factors as 3 × 5 × 17 × 47 × 53. Its 32 positive divisors give a proper-divisor sum of 484,539, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 47 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,119,744
Proper Divisor Sum 484,539
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #635203 ← → #635207

Radix Representation

Decimal 635205
Binary 10011011000101000101 (20 bits)
Octal 0o2330505
Hexadecimal 0x9B145

Divisor Catalog (32)

1 3 5 15 17 47 51 53 85 141 159 235 255 265 705 795 799 901 2,397 2,491 2,703 3,995 4,505 7,473 11,985 12,455 13,515 37,365 42,347 127,041 211,735 635,205

Collatz Trajectory (53 steps to reach 1)

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

635,205 1,905,616 952,808 476,404 238,202 119,101 357,304 178,652 89,326 44,663 133,990 66,995 200,986 100,493 301,480 150,740 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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