394,404

2² × 3 × 23 × 1429

Starting at 394,404, the Collatz iteration reaches 1 after 130 steps. The first transition is 197202; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 1429

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 960,960

Proper Divisor Sum 566,556

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #394393 ← → #394409

Radix Representation

Decimal	394404
Binary	1100000010010100100 (19 bits)
Octal	0o1402244
Hexadecimal	0x604A4

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 1,429 2,858 4,287 5,716 8,574 17,148 32,867 65,734 98,601 131,468 197,202 394,404

Collatz Trajectory (130 steps to reach 1)

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

394,404 197,202 98,601 295,804 147,902 73,951 221,854 110,927 332,782 166,391 499,174 249,587 748,762 374,381 1,123,144 561,572 280,786 140,393 421,180 210,590 105,295 315,886 157,943 473,830 236,915 710,746 355,373 1,066,120 533,060 266,530 133,265 399,796 199,898 99,949 299,848 149,924 74,962 37,481 112,444 56,222 28,111 84,334 42,167 126,502 63,251 189,754 94,877 284,632 142,316 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062

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