8,524,835

5 × 11 × 23² × 293

8,524,835 has digital root 8. The neighboring primes are 8524823 and 8524853; its proper-divisor sum differs from the starting integer by -5,343,766.

Prime Factor Structure

Factorization String 5 × 11 × 23^2 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,705,904

Proper Divisor Sum 3,181,069

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8524823 ← → #8524853

Radix Representation

Decimal	8524835
Binary	100000100001010000100011 (24 bits)
Octal	0o40412043
Hexadecimal	0x821423

Divisor Catalog (24)

1 5 11 23 55 115 253 293 529 1,265 1,465 2,645 3,223 5,819 6,739 16,115 29,095 33,695 74,129 154,997 370,645 774,985 1,704,967 8,524,835

Collatz Trajectory (98 steps to reach 1)

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

8,524,835 25,574,506 12,787,253 38,361,760 19,180,880 9,590,440 4,795,220 2,397,610 1,198,805 3,596,416 1,798,208 899,104 449,552 224,776 112,388 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017

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