3,678,160

2⁴ × 5 × 23 × 1999

Starting at 3,678,160, the Collatz iteration reaches 1 after 141 steps. The first transition is 1839080; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 1999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,928,000

Proper Divisor Sum 5,249,840

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3678149 ← → #3678163

Radix Representation

Decimal	3678160
Binary	1110000001111111010000 (22 bits)
Octal	0o16017720
Hexadecimal	0x381FD0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,840 1,999 3,998 7,996 9,995 15,992 19,990 31,984 39,980 45,977 79,960 91,954 159,920 183,908 229,885 367,816 459,770 735,632 919,540 1,839,080 3,678,160

Collatz Trajectory (141 steps to reach 1)

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

3,678,160 1,839,080 919,540 459,770 229,885 689,656 344,828 172,414 86,207 258,622 129,311 387,934 193,967 581,902 290,951 872,854 436,427 1,309,282 654,641 1,963,924 981,962 490,981 1,472,944 736,472 368,236 184,118 92,059 276,178 138,089 414,268 207,134 103,567 310,702 155,351 466,054 233,027 699,082 349,541 1,048,624 524,312 262,156 131,078 65,539 196,618 98,309 294,928 147,464 73,732 36,866 18,433 55,300 27,650 13,825 41,476 20,738 10,369 31,108 15,554 7,777 23,332

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