λ
Prime Ledger

9,925,090

2 × 5 × 7 × 71 × 1997
Abundant Even Composite

9,925,090 has the prime decomposition 2 × 5 × 7 × 71 × 1997. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71 × 1997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,715,264
Proper Divisor Sum 10,790,174
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9925081 ← → #9925109

Radix Representation

Decimal 9925090
Binary 100101110111000111100010 (24 bits)
Octal 0o45670742
Hexadecimal 0x9771E2

Divisor Catalog (32)

1 2 5 7 10 14 35 70 71 142 355 497 710 994 1,997 2,485 3,994 4,970 9,985 13,979 19,970 27,958 69,895 139,790 141,787 283,574 708,935 992,509 1,417,870 1,985,018 4,962,545 9,925,090

Collatz Trajectory (176 steps to reach 1)

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

9,925,090 4,962,545 14,887,636 7,443,818 3,721,909 11,165,728 5,582,864 2,791,432 1,395,716 697,858 348,929 1,046,788 523,394 261,697 785,092 392,546 196,273 588,820 294,410 147,205 441,616 220,808 110,404 55,202 27,601 82,804 41,402 20,701 62,104 31,052 15,526 7,763 23,290 11,645 34,936 17,468 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292

More profiles

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