λ
Integer Codex

1,672,648

23 × 419 × 499
Deficient Even Composite

For 1,672,648, the 16 positive divisors have a total of 3,150,000. Removing 1,672,648 leaves 1,477,352, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 419 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,150,000
Proper Divisor Sum 1,477,352
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1672639 ← → #1672651

Radix Representation

Decimal 1672648
Binary 110011000010111001000 (21 bits)
Octal 0o6302710
Hexadecimal 0x1985C8

Divisor Catalog (16)

1 2 4 8 419 499 838 998 1,676 1,996 3,352 3,992 209,081 418,162 836,324 1,672,648

Collatz Trajectory (158 steps to reach 1)

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

1,672,648 836,324 418,162 209,081 627,244 313,622 156,811 470,434 235,217 705,652 352,826 176,413 529,240 264,620 132,310 66,155 198,466 99,233 297,700 148,850 74,425 223,276 111,638 55,819 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976

More profiles

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