λ
Integer Codex

4,002,571

4002571
Deficient Odd Prime

For 4,002,571, the 2 positive divisors have a total of 4,002,572. Removing 4,002,571 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4002571
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,002,572
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4002563 ← → #4002577

Radix Representation

Decimal 4002571
Binary 1111010001001100001011 (22 bits)
Octal 0o17211413
Hexadecimal 0x3D130B

Divisor Catalog (2)

Collatz Trajectory (92 steps to reach 1)

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

4,002,571 12,007,714 6,003,857 18,011,572 9,005,786 4,502,893 13,508,680 6,754,340 3,377,170 1,688,585 5,065,756 2,532,878 1,266,439 3,799,318 1,899,659 5,698,978 2,849,489 8,548,468 4,274,234 2,137,117 6,411,352 3,205,676 1,602,838 801,419 2,404,258 1,202,129 3,606,388 1,803,194 901,597 2,704,792 1,352,396 676,198 338,099 1,014,298 507,149 1,521,448 760,724 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117 120,352 60,176 30,088 15,044 7,522 3,761 11,284 5,642 2,821 8,464 4,232

More profiles

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