λ
Sigma Notebook

1,997,384

23 × 61 × 4093
Deficient Even Composite

1,997,384 is even and not a perfect square. Its factorization is 2^3 × 61 × 4093 and its 16 divisors sum to 3,807,420.

Prime Factor Structure

Factorization String 2^3 × 61 × 4093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,807,420
Proper Divisor Sum 1,810,036
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1997351 ← → #1997407

Radix Representation

Decimal 1997384
Binary 111100111101001001000 (21 bits)
Octal 0o7475110
Hexadecimal 0x1E7A48

Divisor Catalog (16)

1 2 4 8 61 122 244 488 4,093 8,186 16,372 32,744 249,673 499,346 998,692 1,997,384

Collatz Trajectory (153 steps to reach 1)

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

1,997,384 998,692 499,346 249,673 749,020 374,510 187,255 561,766 280,883 842,650 421,325 1,263,976 631,988 315,994 157,997 473,992 236,996 118,498 59,249 177,748 88,874 44,437 133,312 66,656 33,328 16,664 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

More profiles

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