λ
Sigma Notebook

629,642

2 × 13 × 61 × 397
Deficient Even Composite

629,642 is even and not a perfect square. Its factorization is 2 × 13 × 61 × 397 and its 16 divisors sum to 1,036,392.

Prime Factor Structure

Factorization String 2 × 13 × 61 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,036,392
Proper Divisor Sum 406,750
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #629623 ← → #629653

Radix Representation

Decimal 629642
Binary 10011001101110001010 (20 bits)
Octal 0o2315612
Hexadecimal 0x99B8A

Divisor Catalog (16)

1 2 13 26 61 122 397 793 794 1,586 5,161 10,322 24,217 48,434 314,821 629,642

Collatz Trajectory (110 steps to reach 1)

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

629,642 314,821 944,464 472,232 236,116 118,058 59,029 177,088 88,544 44,272 22,136 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989

More profiles

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