720,480

2⁵ × 3 × 5 × 19 × 79

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,419,200

Proper Divisor Sum 1,698,720

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #720439 ← → #720481

Radix Representation

Decimal	720480
Binary	10101111111001100000 (20 bits)
Octal	0o2577140
Hexadecimal	0xAFE60

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 79 80 95 96 114 120 152 158 160 190 228 237 240 285 304 316 380 395 456 474 480 570 608 632 760 790 912 948 1,140 1,185 1,264 1,501 1,520 1,580 1,824 1,896 2,280 2,370

Collatz Trajectory (118 steps to reach 1)

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

720,480 360,240 180,120 90,060 45,030 22,515 67,546 33,773 101,320 50,660 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

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