λ
Sigma Notebook

9,804,731

43 × 107 × 2131
Deficient Odd Composite

9,804,731 is odd and not a perfect square. Its factorization is 43 × 107 × 2131 and its 8 divisors sum to 10,131,264.

Prime Factor Structure

Factorization String 43 × 107 × 2131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,131,264
Proper Divisor Sum 326,533
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9804727 ← → #9804749

Radix Representation

Decimal 9804731
Binary 100101011001101110111011 (24 bits)
Octal 0o45315673
Hexadecimal 0x959BBB

Divisor Catalog (8)

1 43 107 2,131 4,601 91,633 228,017 9,804,731

Collatz Trajectory (269 steps to reach 1)

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

9,804,731 29,414,194 14,707,097 44,121,292 22,060,646 11,030,323 33,090,970 16,545,485 49,636,456 24,818,228 12,409,114 6,204,557 18,613,672 9,306,836 4,653,418 2,326,709 6,980,128 3,490,064 1,745,032 872,516 436,258 218,129 654,388 327,194 163,597 490,792 245,396 122,698 61,349 184,048 92,024 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157

More profiles

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