635,650

2 × 5² × 12713

For 635,650, the 12 positive divisors have a total of 1,182,402. Removing 635,650 leaves 546,752, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 12713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,182,402

Proper Divisor Sum 546,752

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #635639 ← → #635653

Radix Representation

Decimal	635650
Binary	10011011001100000010 (20 bits)
Octal	0o2331402
Hexadecimal	0x9B302

Divisor Catalog (12)

1 2 5 10 25 50 12,713 25,426 63,565 127,130 317,825 635,650

Collatz Trajectory (123 steps to reach 1)

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

635,650 317,825 953,476 476,738 238,369 715,108 357,554 178,777 536,332 268,166 134,083 402,250 201,125 603,376 301,688 150,844 75,422 37,711 113,134 56,567 169,702 84,851 254,554 127,277 381,832 190,916 95,458 47,729 143,188 71,594 35,797 107,392 53,696 26,848 13,424 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040

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