λ
Integer Codex

1,993,999

7 × 284857
Deficient Odd Composite

For 1,993,999, the 4 positive divisors have a total of 2,278,864. Removing 1,993,999 leaves 284,865, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 284857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,278,864
Proper Divisor Sum 284,865
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #1993997 ← → #1994033

Radix Representation

Decimal 1993999
Binary 111100110110100001111 (21 bits)
Octal 0o7466417
Hexadecimal 0x1E6D0F

Divisor Catalog (4)

1 7 284,857 1,993,999

Collatz Trajectory (122 steps to reach 1)

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

1,993,999 5,981,998 2,990,999 8,972,998 4,486,499 13,459,498 6,729,749 20,189,248 10,094,624 5,047,312 2,523,656 1,261,828 630,914 315,457 946,372 473,186 236,593 709,780 354,890 177,445 532,336 266,168 133,084 66,542 33,271 99,814 49,907 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495 22,486 11,243 33,730 16,865 50,596 25,298 12,649

More profiles

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