8,563,525

5² × 83 × 4127

8,563,525 factors as 5^2 × 83 × 4127. Its 12 positive divisors give a proper-divisor sum of 2,185,787, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 5^2 × 83 × 4127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,749,312

Proper Divisor Sum 2,185,787

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8563519 ← → #8563537

Radix Representation

Decimal	8563525
Binary	100000101010101101000101 (24 bits)
Octal	0o40525505
Hexadecimal	0x82AB45

Divisor Catalog (12)

1 5 25 83 415 2,075 4,127 20,635 103,175 342,541 1,712,705 8,563,525

Collatz Trajectory (75 steps to reach 1)

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

8,563,525 25,690,576 12,845,288 6,422,644 3,211,322 1,605,661 4,816,984 2,408,492 1,204,246 602,123 1,806,370 903,185 2,709,556 1,354,778 677,389 2,032,168 1,016,084 508,042 254,021 762,064 381,032 190,516 95,258 47,629 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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