672,024

2³ × 3 × 28001

Starting at 672,024, the Collatz iteration reaches 1 after 136 steps. The first transition is 336012; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 28001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,680,120

Proper Divisor Sum 1,008,096

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #672019 ← → #672029

Radix Representation

Decimal	672024
Binary	10100100000100011000 (20 bits)
Octal	0o2440430
Hexadecimal	0xA4118

Divisor Catalog (16)

1 2 3 4 6 8 12 24 28,001 56,002 84,003 112,004 168,006 224,008 336,012 672,024

Collatz Trajectory (136 steps to reach 1)

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

672,024 336,012 168,006 84,003 252,010 126,005 378,016 189,008 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574

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