3,702,684

2² × 3 × 97 × 3181

Starting at 3,702,684, the Collatz iteration reaches 1 after 216 steps. The first transition is 1851342; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 97 × 3181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,731,408

Proper Divisor Sum 5,028,724

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3702679 ← → #3702689

Radix Representation

Decimal	3702684
Binary	1110000111111110011100 (22 bits)
Octal	0o16077634
Hexadecimal	0x387F9C

Divisor Catalog (24)

1 2 3 4 6 12 97 194 291 388 582 1,164 3,181 6,362 9,543 12,724 19,086 38,172 308,557 617,114 925,671 1,234,228 1,851,342 3,702,684

Collatz Trajectory (216 steps to reach 1)

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

3,702,684 1,851,342 925,671 2,777,014 1,388,507 4,165,522 2,082,761 6,248,284 3,124,142 1,562,071 4,686,214 2,343,107 7,029,322 3,514,661 10,543,984 5,271,992 2,635,996 1,317,998 658,999 1,976,998 988,499 2,965,498 1,482,749 4,448,248 2,224,124 1,112,062 556,031 1,668,094 834,047 2,502,142 1,251,071 3,753,214 1,876,607 5,629,822 2,814,911 8,444,734 4,222,367 12,667,102 6,333,551 19,000,654 9,500,327 28,500,982 14,250,491 42,751,474 21,375,737 64,127,212 32,063,606 16,031,803 48,095,410 24,047,705 72,143,116 36,071,558 18,035,779 54,107,338 27,053,669 81,161,008 40,580,504 20,290,252 10,145,126 5,072,563

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