7,463,520

2⁵ × 3² × 5 × 71 × 73

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 71 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 26,181,792

Proper Divisor Sum 18,718,272

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7463509 ← → #7463549

Radix Representation

Decimal	7463520
Binary	11100011110001001100000 (23 bits)
Octal	0o34361140
Hexadecimal	0x71E260

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 73 80 90 96 120 142 144 146 160 180 213 219 240 284 288 292 355 360 365 426 438 480 568 584 639 657 710 720 730 852 876 1,065 1,095 1,136 1,168 1,278

Collatz Trajectory (111 steps to reach 1)

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

7,463,520 3,731,760 1,865,880 932,940 466,470 233,235 699,706 349,853 1,049,560 524,780 262,390 131,195 393,586 196,793 590,380 295,190 147,595 442,786 221,393 664,180 332,090 166,045 498,136 249,068 124,534 62,267 186,802 93,401 280,204 140,102 70,051 210,154 105,077 315,232 157,616 78,808 39,404 19,702 9,851 29,554 14,777 44,332 22,166 11,083 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316

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