4,201,009

61² × 1129

4,201,009 factors as 61^2 × 1129. Its 6 positive divisors give a proper-divisor sum of 73,781, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 61^2 × 1129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,274,790

Proper Divisor Sum 73,781

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4201007 ← → #4201013

Radix Representation

Decimal	4201009
Binary	10000000001101000110001 (23 bits)
Octal	0o20015061
Hexadecimal	0x401A31

Divisor Catalog (6)

1 61 1,129 3,721 68,869 4,201,009

Collatz Trajectory (105 steps to reach 1)

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

4,201,009 12,603,028 6,301,514 3,150,757 9,452,272 4,726,136 2,363,068 1,181,534 590,767 1,772,302 886,151 2,658,454 1,329,227 3,987,682 1,993,841 5,981,524 2,990,762 1,495,381 4,486,144 2,243,072 1,121,536 560,768 280,384 140,192 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 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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