3,683,502

2 × 3³ × 68213

Starting at 3,683,502, the Collatz iteration reaches 1 after 66 steps. The first transition is 1841751; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 68213

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,185,680

Proper Divisor Sum 4,502,178

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3683479 ← → #3683503

Radix Representation

Decimal	3683502
Binary	1110000011010010101110 (22 bits)
Octal	0o16032256
Hexadecimal	0x3834AE

Divisor Catalog (16)

1 2 3 6 9 18 27 54 68,213 136,426 204,639 409,278 613,917 1,227,834 1,841,751 3,683,502

Collatz Trajectory (66 steps to reach 1)

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

3,683,502 1,841,751 5,525,254 2,762,627 8,287,882 4,143,941 12,431,824 6,215,912 3,107,956 1,553,978 776,989 2,330,968 1,165,484 582,742 291,371 874,114 437,057 1,311,172 655,586 327,793 983,380 491,690 245,845 737,536 368,768 184,384 92,192 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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