4,087,556

2² × 11 × 92899

Starting at 4,087,556, the Collatz iteration reaches 1 after 167 steps. The first transition is 2043778; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 92899

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,803,600

Proper Divisor Sum 3,716,044

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4087513 ← → #4087597

Radix Representation

Decimal	4087556
Binary	1111100101111100000100 (22 bits)
Octal	0o17457404
Hexadecimal	0x3E5F04

Divisor Catalog (12)

1 2 4 11 22 44 92,899 185,798 371,596 1,021,889 2,043,778 4,087,556

Collatz Trajectory (167 steps to reach 1)

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

4,087,556 2,043,778 1,021,889 3,065,668 1,532,834 766,417 2,299,252 1,149,626 574,813 1,724,440 862,220 431,110 215,555 646,666 323,333 970,000 485,000 242,500 121,250 60,625 181,876 90,938 45,469 136,408 68,204 34,102 17,051 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572

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