λ
Sigma Notebook

9,880,497

32 × 112 × 43 × 211
Deficient Odd Composite

9,880,497 is odd and not a perfect square. Its factorization is 3^2 × 11^2 × 43 × 211 and its 36 divisors sum to 16,128,112.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 43 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,128,112
Proper Divisor Sum 6,247,615
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9880489 ← → #9880529

Radix Representation

Decimal 9880497
Binary 100101101100001110110001 (24 bits)
Octal 0o45541661
Hexadecimal 0x96C3B1

Divisor Catalog (36)

1 3 9 11 33 43 99 121 129 211 363 387 473 633 1,089 1,419 1,899 2,321 4,257 5,203 6,963 9,073 15,609 20,889 25,531 27,219 46,827 76,593 81,657 99,803 229,779 299,409 898,227 1,097,833 3,293,499 9,880,497

Collatz Trajectory (238 steps to reach 1)

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

9,880,497 29,641,492 14,820,746 7,410,373 22,231,120 11,115,560 5,557,780 2,778,890 1,389,445 4,168,336 2,084,168 1,042,084 521,042 260,521 781,564 390,782 195,391 586,174 293,087 879,262 439,631 1,318,894 659,447 1,978,342 989,171 2,967,514 1,483,757 4,451,272 2,225,636 1,112,818 556,409 1,669,228 834,614 417,307 1,251,922 625,961 1,877,884 938,942 469,471 1,408,414 704,207 2,112,622 1,056,311 3,168,934 1,584,467 4,753,402 2,376,701 7,130,104 3,565,052 1,782,526 891,263 2,673,790 1,336,895 4,010,686 2,005,343 6,016,030 3,008,015 9,024,046 4,512,023 13,536,070

More profiles

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