8,513,725

5² × 11 × 83 × 373

8,513,725 has the prime decomposition 5^2 × 11 × 83 × 373. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 83 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,686,752

Proper Divisor Sum 3,173,027

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8513693 ← → #8513731

Radix Representation

Decimal	8513725
Binary	100000011110100010111101 (24 bits)
Octal	0o40364275
Hexadecimal	0x81E8BD

Divisor Catalog (24)

1 5 11 25 55 83 275 373 415 913 1,865 2,075 4,103 4,565 9,325 20,515 22,825 30,959 102,575 154,795 340,549 773,975 1,702,745 8,513,725

Collatz Trajectory (199 steps to reach 1)

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

8,513,725 25,541,176 12,770,588 6,385,294 3,192,647 9,577,942 4,788,971 14,366,914 7,183,457 21,550,372 10,775,186 5,387,593 16,162,780 8,081,390 4,040,695 12,122,086 6,061,043 18,183,130 9,091,565 27,274,696 13,637,348 6,818,674 3,409,337 10,228,012 5,114,006 2,557,003 7,671,010 3,835,505 11,506,516 5,753,258 2,876,629 8,629,888 4,314,944 2,157,472 1,078,736 539,368 269,684 134,842 67,421 202,264 101,132 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001

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