8,500,323

3 × 13 × 17 × 12821

8,500,323 has digital root 3. The neighboring primes are 8500313 and 8500337; its proper-divisor sum differs from the starting integer by -4,076,070.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 12821

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,924,576

Proper Divisor Sum 4,424,253

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8500313 ← → #8500337

Radix Representation

Decimal	8500323
Binary	100000011011010001100011 (24 bits)
Octal	0o40332143
Hexadecimal	0x81B463

Divisor Catalog (16)

1 3 13 17 39 51 221 663 12,821 38,463 166,673 217,957 500,019 653,871 2,833,441 8,500,323

Collatz Trajectory (212 steps to reach 1)

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

8,500,323 25,500,970 12,750,485 38,251,456 19,125,728 9,562,864 4,781,432 2,390,716 1,195,358 597,679 1,793,038 896,519 2,689,558 1,344,779 4,034,338 2,017,169 6,051,508 3,025,754 1,512,877 4,538,632 2,269,316 1,134,658 567,329 1,701,988 850,994 425,497 1,276,492 638,246 319,123 957,370 478,685 1,436,056 718,028 359,014 179,507 538,522 269,261 807,784 403,892 201,946 100,973 302,920 151,460 75,730 37,865 113,596 56,798 28,399 85,198 42,599 127,798 63,899 191,698 95,849 287,548 143,774 71,887 215,662 107,831 323,494

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