λ
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997,690

2 × 5 × 19 × 59 × 89
Deficient Even Composite

997,690 factors as 2 × 5 × 19 × 59 × 89. Its 32 positive divisors give a proper-divisor sum of 946,310, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 59 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,944,000
Proper Divisor Sum 946,310
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #997681 ← → #997693

Radix Representation

Decimal 997690
Binary 11110011100100111010 (20 bits)
Octal 0o3634472
Hexadecimal 0xF393A

Divisor Catalog (32)

1 2 5 10 19 38 59 89 95 118 178 190 295 445 590 890 1,121 1,691 2,242 3,382 5,251 5,605 8,455 10,502 11,210 16,910 26,255 52,510 99,769 199,538 498,845 997,690

Collatz Trajectory (77 steps to reach 1)

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

997,690 498,845 1,496,536 748,268 374,134 187,067 561,202 280,601 841,804 420,902 210,451 631,354 315,677 947,032 473,516 236,758 118,379 355,138 177,569 532,708 266,354 133,177 399,532 199,766 99,883 299,650 149,825 449,476 224,738 112,369 337,108 168,554 84,277 252,832 126,416 63,208 31,604 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176

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