λ
Harmonic Matrix

9,098,050

2 × 52 × 13 × 13997
Abundant Even Composite

9,098,050 has digital root 4. The neighboring primes are 9098029 and 9098059; its proper-divisor sum differs from the starting integer by 29,296.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 13997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,225,396
Proper Divisor Sum 9,127,346
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9098029 ← → #9098059

Radix Representation

Decimal 9098050
Binary 100010101101001101000010 (24 bits)
Octal 0o42551502
Hexadecimal 0x8AD342

Divisor Catalog (24)

1 2 5 10 13 25 26 50 65 130 325 650 13,997 27,994 69,985 139,970 181,961 349,925 363,922 699,850 909,805 1,819,610 4,549,025 9,098,050

Collatz Trajectory (256 steps to reach 1)

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

9,098,050 4,549,025 13,647,076 6,823,538 3,411,769 10,235,308 5,117,654 2,558,827 7,676,482 3,838,241 11,514,724 5,757,362 2,878,681 8,636,044 4,318,022 2,159,011 6,477,034 3,238,517 9,715,552 4,857,776 2,428,888 1,214,444 607,222 303,611 910,834 455,417 1,366,252 683,126 341,563 1,024,690 512,345 1,537,036 768,518 384,259 1,152,778 576,389 1,729,168 864,584 432,292 216,146 108,073 324,220 162,110 81,055 243,166 121,583 364,750 182,375 547,126 273,563 820,690 410,345 1,231,036 615,518 307,759 923,278 461,639 1,384,918 692,459 2,077,378

More profiles

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