722,262

2 × 3 × 17 × 73 × 97

722,262 is even and not a perfect square. Its factorization is 2 × 3 × 17 × 73 × 97 and its 32 divisors sum to 1,566,432.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 73 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,566,432

Proper Divisor Sum 844,170

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #722257 ← → #722273

Radix Representation

Decimal	722262
Binary	10110000010101010110 (20 bits)
Octal	0o2602526
Hexadecimal	0xB0556

Divisor Catalog (32)

1 2 3 6 17 34 51 73 97 102 146 194 219 291 438 582 1,241 1,649 2,482 3,298 3,723 4,947 7,081 7,446 9,894 14,162 21,243 42,486 120,377 240,754 361,131 722,262

Collatz Trajectory (66 steps to reach 1)

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

722,262 361,131 1,083,394 541,697 1,625,092 812,546 406,273 1,218,820 609,410 304,705 914,116 457,058 228,529 685,588 342,794 171,397 514,192 257,096 128,548 64,274 32,137 96,412 48,206 24,103 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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