4,202,005

5 × 643 × 1307

4,202,005 factors as 5 × 643 × 1307. Its 8 positive divisors give a proper-divisor sum of 852,107, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 5 × 643 × 1307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,054,112

Proper Divisor Sum 852,107

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4201969 ← → #4202017

Radix Representation

Decimal	4202005
Binary	10000000001111000010101 (23 bits)
Octal	0o20017025
Hexadecimal	0x401E15

Divisor Catalog (8)

1 5 643 1,307 3,215 6,535 840,401 4,202,005

Collatz Trajectory (105 steps to reach 1)

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

4,202,005 12,606,016 6,303,008 3,151,504 1,575,752 787,876 393,938 196,969 590,908 295,454 147,727 443,182 221,591 664,774 332,387 997,162 498,581 1,495,744 747,872 373,936 186,968 93,484 46,742 23,371 70,114 35,057 105,172 52,586 26,293 78,880 39,440 19,720 9,860 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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