λ
Sigma Notebook

9,829,998

2 × 34 × 60679
Abundant Even Composite

9,829,998 is even and not a perfect square. Its factorization is 2 × 3^4 × 60679 and its 20 divisors sum to 22,026,840.

Prime Factor Structure

Factorization String 2 × 3^4 × 60679
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,026,840
Proper Divisor Sum 12,196,842
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #9829997 ← → #9829999

Radix Representation

Decimal 9829998
Binary 100101011111111001101110 (24 bits)
Octal 0o45377156
Hexadecimal 0x95FE6E

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 60,679 121,358 182,037 364,074 546,111 1,092,222 1,638,333 3,276,666 4,914,999 9,829,998

Collatz Trajectory (88 steps to reach 1)

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

9,829,998 4,914,999 14,744,998 7,372,499 22,117,498 11,058,749 33,176,248 16,588,124 8,294,062 4,147,031 12,441,094 6,220,547 18,661,642 9,330,821 27,992,464 13,996,232 6,998,116 3,499,058 1,749,529 5,248,588 2,624,294 1,312,147 3,936,442 1,968,221 5,904,664 2,952,332 1,476,166 738,083 2,214,250 1,107,125 3,321,376 1,660,688 830,344 415,172 207,586 103,793 311,380 155,690 77,845 233,536 116,768 58,384 29,192 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289

More profiles

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