λ
Prime Ledger

9,750,209

7 × 701 × 1987
Deficient Odd Composite

9,750,209 has the prime decomposition 7 × 701 × 1987. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 701 × 1987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,164,608
Proper Divisor Sum 1,414,399
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9750193 ← → #9750239

Radix Representation

Decimal 9750209
Binary 100101001100011011000001 (24 bits)
Octal 0o45143301
Hexadecimal 0x94C6C1

Divisor Catalog (8)

1 7 701 1,987 4,907 13,909 1,392,887 9,750,209

Collatz Trajectory (207 steps to reach 1)

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

9,750,209 29,250,628 14,625,314 7,312,657 21,937,972 10,968,986 5,484,493 16,453,480 8,226,740 4,113,370 2,056,685 6,170,056 3,085,028 1,542,514 771,257 2,313,772 1,156,886 578,443 1,735,330 867,665 2,602,996 1,301,498 650,749 1,952,248 976,124 488,062 244,031 732,094 366,047 1,098,142 549,071 1,647,214 823,607 2,470,822 1,235,411 3,706,234 1,853,117 5,559,352 2,779,676 1,389,838 694,919 2,084,758 1,042,379 3,127,138 1,563,569 4,690,708 2,345,354 1,172,677 3,518,032 1,759,016 879,508 439,754 219,877 659,632 329,816 164,908 82,454 41,227 123,682 61,841

More profiles

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