λ
Harmonic Matrix

9,996,536

23 × 112 × 23 × 449
Abundant Even Composite

9,996,536 has digital root 2. The neighboring primes are 9996523 and 9996541; its proper-divisor sum differs from the starting integer by 1,552,928.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 23 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,546,000
Proper Divisor Sum 11,549,464
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9996523 ← → #9996541

Radix Representation

Decimal 9996536
Binary 100110001000100011111000 (24 bits)
Octal 0o46104370
Hexadecimal 0x9888F8

Divisor Catalog (48)

1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 449 484 506 898 968 1,012 1,796 2,024 2,783 3,592 4,939 5,566 9,878 10,327 11,132 19,756 20,654 22,264 39,512 41,308 54,329 82,616 108,658 113,597 217,316 227,194 434,632 454,388 908,776 1,249,567 2,499,134 4,998,268 9,996,536

Collatz Trajectory (132 steps to reach 1)

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

9,996,536 4,998,268 2,499,134 1,249,567 3,748,702 1,874,351 5,623,054 2,811,527 8,434,582 4,217,291 12,651,874 6,325,937 18,977,812 9,488,906 4,744,453 14,233,360 7,116,680 3,558,340 1,779,170 889,585 2,668,756 1,334,378 667,189 2,001,568 1,000,784 500,392 250,196 125,098 62,549 187,648 93,824 46,912 23,456 11,728 5,864 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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