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8,528,480

25 × 5 × 151 × 353
Abundant Even Composite

8,528,480 factors as 2^5 × 5 × 151 × 353. Its 48 positive divisors give a proper-divisor sum of 11,810,944, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 151 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,339,424
Proper Divisor Sum 11,810,944
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8528467 ← → #8528483

Radix Representation

Decimal 8528480
Binary 100000100010001001100000 (24 bits)
Octal 0o40421140
Hexadecimal 0x822260

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 151 160 302 353 604 706 755 1,208 1,412 1,510 1,765 2,416 2,824 3,020 3,530 4,832 5,648 6,040 7,060 11,296 12,080 14,120 24,160 28,240 53,303 56,480 106,606 213,212 266,515 426,424 533,030 852,848 1,066,060 1,705,696 2,132,120 4,264,240 8,528,480

Collatz Trajectory (98 steps to reach 1)

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

8,528,480 4,264,240 2,132,120 1,066,060 533,030 266,515 799,546 399,773 1,199,320 599,660 299,830 149,915 449,746 224,873 674,620 337,310 168,655 505,966 252,983 758,950 379,475 1,138,426 569,213 1,707,640 853,820 426,910 213,455 640,366 320,183 960,550 480,275 1,440,826 720,413 2,161,240 1,080,620 540,310 270,155 810,466 405,233 1,215,700 607,850 303,925 911,776 455,888 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017

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