λ
Prime Ledger

4,003,987

13 × 67 × 4597
Deficient Odd Composite

4,003,987 has the prime decomposition 13 × 67 × 4597. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 67 × 4597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,377,296
Proper Divisor Sum 373,309
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4003981 ← → #4003999

Radix Representation

Decimal 4003987
Binary 1111010001100010010011 (22 bits)
Octal 0o17214223
Hexadecimal 0x3D1893

Divisor Catalog (8)

1 13 67 871 4,597 59,761 307,999 4,003,987

Collatz Trajectory (260 steps to reach 1)

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

4,003,987 12,011,962 6,005,981 18,017,944 9,008,972 4,504,486 2,252,243 6,756,730 3,378,365 10,135,096 5,067,548 2,533,774 1,266,887 3,800,662 1,900,331 5,700,994 2,850,497 8,551,492 4,275,746 2,137,873 6,413,620 3,206,810 1,603,405 4,810,216 2,405,108 1,202,554 601,277 1,803,832 901,916 450,958 225,479 676,438 338,219 1,014,658 507,329 1,521,988 760,994 380,497 1,141,492 570,746 285,373 856,120 428,060 214,030 107,015 321,046 160,523 481,570 240,785 722,356 361,178 180,589 541,768 270,884 135,442 67,721 203,164 101,582 50,791 152,374

More profiles

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