3,679,264

2⁵ × 23 × 4999

Starting at 3,679,264, the Collatz iteration reaches 1 after 159 steps. The first transition is 1839632; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 23 × 4999

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,560,000

Proper Divisor Sum 3,880,736

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3679261 ← → #3679271

Radix Representation

Decimal	3679264
Binary	1110000010010000100000 (22 bits)
Octal	0o16022040
Hexadecimal	0x382420

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 4,999 9,998 19,996 39,992 79,984 114,977 159,968 229,954 459,908 919,816 1,839,632 3,679,264

Collatz Trajectory (159 steps to reach 1)

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

3,679,264 1,839,632 919,816 459,908 229,954 114,977 344,932 172,466 86,233 258,700 129,350 64,675 194,026 97,013 291,040 145,520 72,760 36,380 18,190 9,095 27,286 13,643 40,930 20,465 61,396 30,698 15,349 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893

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