720,048

2⁴ × 3 × 7 × 2143

720,048 has the prime decomposition 2^4 × 3 × 7 × 2143. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 2143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,126,848

Proper Divisor Sum 1,406,800

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #720023 ← → #720053

Radix Representation

Decimal	720048
Binary	10101111110010110000 (20 bits)
Octal	0o2576260
Hexadecimal	0xAFCB0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2,143 4,286 6,429 8,572 12,858 15,001 17,144 25,716 30,002 34,288 45,003 51,432 60,004 90,006 102,864 120,008 180,012 240,016 360,024 720,048

Collatz Trajectory (92 steps to reach 1)

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

720,048 360,024 180,012 90,006 45,003 135,010 67,505 202,516 101,258 50,629 151,888 75,944 37,972 18,986 9,493 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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