17,580,800

2⁸ × 5² × 41 × 67

17,580,800 factors as 2^8 × 5^2 × 41 × 67. Its 108 positive divisors give a proper-divisor sum of 27,661,096, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^8 × 5^2 × 41 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 45,241,896

Proper Divisor Sum 27,661,096

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17580791 ← → #17580803

Radix Representation

Decimal	17580800
Binary	1000011000100001100000000 (25 bits)
Octal	0o103041400
Hexadecimal	0x10C4300

Divisor Catalog (60 of 108)

1 2 4 5 8 10 16 20 25 32 40 41 50 64 67 80 82 100 128 134 160 164 200 205 256 268 320 328 335 400 410 536 640 656 670 800 820 1,025 1,072 1,280 1,312 1,340 1,600 1,640 1,675 2,050 2,144 2,624 2,680 2,747 3,200 3,280 3,350 4,100 4,288 5,248 5,360 5,494 6,400 6,560

Collatz Trajectory (76 steps to reach 1)

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

17,580,800 8,790,400 4,395,200 2,197,600 1,098,800 549,400 274,700 137,350 68,675 206,026 103,013 309,040 154,520 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88

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