720,552

2³ × 3 × 7 × 4289

720,552 has the prime decomposition 2^3 × 3 × 7 × 4289. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 4289

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,059,200

Proper Divisor Sum 1,338,648

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #720547 ← → #720569

Radix Representation

Decimal	720552
Binary	10101111111010101000 (20 bits)
Octal	0o2577250
Hexadecimal	0xAFEA8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4,289 8,578 12,867 17,156 25,734 30,023 34,312 51,468 60,046 90,069 102,936 120,092 180,138 240,184 360,276 720,552

Collatz Trajectory (180 steps to reach 1)

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

720,552 360,276 180,138 90,069 270,208 135,104 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574

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