8,426,536

2³ × 47 × 73 × 307

For 8,426,536, the 32 positive divisors have a total of 16,410,240. Removing 8,426,536 leaves 7,983,704, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 47 × 73 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,410,240

Proper Divisor Sum 7,983,704

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8426527 ← → #8426549

Radix Representation

Decimal	8426536
Binary	100000001001010000101000 (24 bits)
Octal	0o40112050
Hexadecimal	0x809428

Divisor Catalog (32)

1 2 4 8 47 73 94 146 188 292 307 376 584 614 1,228 2,456 3,431 6,862 13,724 14,429 22,411 27,448 28,858 44,822 57,716 89,644 115,432 179,288 1,053,317 2,106,634 4,213,268 8,426,536

Collatz Trajectory (199 steps to reach 1)

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

8,426,536 4,213,268 2,106,634 1,053,317 3,159,952 1,579,976 789,988 394,994 197,497 592,492 296,246 148,123 444,370 222,185 666,556 333,278 166,639 499,918 249,959 749,878 374,939 1,124,818 562,409 1,687,228 843,614 421,807 1,265,422 632,711 1,898,134 949,067 2,847,202 1,423,601 4,270,804 2,135,402 1,067,701 3,203,104 1,601,552 800,776 400,388 200,194 100,097 300,292 150,146 75,073 225,220 112,610 56,305 168,916 84,458 42,229 126,688 63,344 31,672 15,836 7,918 3,959 11,878 5,939 17,818 8,909

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