4,082,521

83 × 101 × 487

Starting at 4,082,521, the Collatz iteration reaches 1 after 185 steps. The first transition is 12247564; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 83 × 101 × 487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,181,184

Proper Divisor Sum 98,663

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4082513 ← → #4082527

Radix Representation

Decimal	4082521
Binary	1111100100101101011001 (22 bits)
Octal	0o17445531
Hexadecimal	0x3E4B59

Divisor Catalog (8)

1 83 101 487 8,383 40,421 49,187 4,082,521

Collatz Trajectory (185 steps to reach 1)

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

4,082,521 12,247,564 6,123,782 3,061,891 9,185,674 4,592,837 13,778,512 6,889,256 3,444,628 1,722,314 861,157 2,583,472 1,291,736 645,868 322,934 161,467 484,402 242,201 726,604 363,302 181,651 544,954 272,477 817,432 408,716 204,358 102,179 306,538 153,269 459,808 229,904 114,952 57,476 28,738 14,369 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319

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