3,892,082

2 × 17 × 114473

Starting at 3,892,082, the Collatz iteration reaches 1 after 172 steps. The first transition is 1946041; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 114473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,181,596

Proper Divisor Sum 2,289,514

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3892069 ← → #3892087

Radix Representation

Decimal	3892082
Binary	1110110110001101110010 (22 bits)
Octal	0o16661562
Hexadecimal	0x3B6372

Divisor Catalog (8)

1 2 17 34 114,473 228,946 1,946,041 3,892,082

Collatz Trajectory (172 steps to reach 1)

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

3,892,082 1,946,041 5,838,124 2,919,062 1,459,531 4,378,594 2,189,297 6,567,892 3,283,946 1,641,973 4,925,920 2,462,960 1,231,480 615,740 307,870 153,935 461,806 230,903 692,710 346,355 1,039,066 519,533 1,558,600 779,300 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115

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