λ
Harmonic Matrix

9,050,048

26 × 7 × 20201
Abundant Even Composite

9,050,048 has digital root 8. The neighboring primes are 9050039 and 9050051; its proper-divisor sum differs from the starting integer by 2,425,136.

Prime Factor Structure

Factorization String 2^6 × 7 × 20201
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 20,525,232
Proper Divisor Sum 11,475,184
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9050039 ← → #9050051

Radix Representation

Decimal 9050048
Binary 100010100001011111000000 (24 bits)
Octal 0o42413700
Hexadecimal 0x8A17C0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 20,201 40,402 80,804 141,407 161,608 282,814 323,216 565,628 646,432 1,131,256 1,292,864 2,262,512 4,525,024 9,050,048

Collatz Trajectory (111 steps to reach 1)

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

9,050,048 4,525,024 2,262,512 1,131,256 565,628 282,814 141,407 424,222 212,111 636,334 318,167 954,502 477,251 1,431,754 715,877 2,147,632 1,073,816 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006 75,503 226,510 113,255 339,766 169,883 509,650 254,825 764,476 382,238 191,119 573,358 286,679 860,038 430,019 1,290,058 645,029 1,935,088 967,544 483,772 241,886 120,943 362,830 181,415 544,246 272,123 816,370 408,185 1,224,556 612,278 306,139 918,418 459,209 1,377,628 688,814 344,407

More profiles

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