4,001,877

3² × 11 × 40423

Starting at 4,001,877, the Collatz iteration reaches 1 after 141 steps. The first transition is 12005632; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 40423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,306,144

Proper Divisor Sum 2,304,267

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4001873 ← → #4001891

Radix Representation

Decimal	4001877
Binary	1111010001000001010101 (22 bits)
Octal	0o17210125
Hexadecimal	0x3D1055

Divisor Catalog (12)

1 3 9 11 33 99 40,423 121,269 363,807 444,653 1,333,959 4,001,877

Collatz Trajectory (141 steps to reach 1)

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

4,001,877 12,005,632 6,002,816 3,001,408 1,500,704 750,352 375,176 187,588 93,794 46,897 140,692 70,346 35,173 105,520 52,760 26,380 13,190 6,595 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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