8,171,440

2⁴ × 5 × 23 × 4441

8,171,440 has the prime decomposition 2^4 × 5 × 23 × 4441. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 4441

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,829,088

Proper Divisor Sum 11,657,648

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8171437 ← → #8171447

Radix Representation

Decimal	8171440
Binary	11111001010111110110000 (23 bits)
Octal	0o37127660
Hexadecimal	0x7CAFB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,840 4,441 8,882 17,764 22,205 35,528 44,410 71,056 88,820 102,143 177,640 204,286 355,280 408,572 510,715 817,144 1,021,430 1,634,288 2,042,860 4,085,720 8,171,440

Collatz Trajectory (67 steps to reach 1)

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

8,171,440 4,085,720 2,042,860 1,021,430 510,715 1,532,146 766,073 2,298,220 1,149,110 574,555 1,723,666 861,833 2,585,500 1,292,750 646,375 1,939,126 969,563 2,908,690 1,454,345 4,363,036 2,181,518 1,090,759 3,272,278 1,636,139 4,908,418 2,454,209 7,362,628 3,681,314 1,840,657 5,521,972 2,760,986 1,380,493 4,141,480 2,070,740 1,035,370 517,685 1,553,056 776,528 388,264 194,132 97,066 48,533 145,600 72,800 36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40

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