λ
Sigma Notebook

9,721,681

1489 × 6529
Deficient Odd Composite

9,721,681 is odd and not a perfect square. Its factorization is 1489 × 6529 and its 4 divisors sum to 9,729,700.

Prime Factor Structure

Factorization String 1489 × 6529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,729,700
Proper Divisor Sum 8,019
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9721667 ← → #9721687

Radix Representation

Decimal 9721681
Binary 100101000101011101010001 (24 bits)
Octal 0o45053521
Hexadecimal 0x945751

Divisor Catalog (4)

1 1,489 6,529 9,721,681

Collatz Trajectory (132 steps to reach 1)

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

9,721,681 29,165,044 14,582,522 7,291,261 21,873,784 10,936,892 5,468,446 2,734,223 8,202,670 4,101,335 12,304,006 6,152,003 18,456,010 9,228,005 27,684,016 13,842,008 6,921,004 3,460,502 1,730,251 5,190,754 2,595,377 7,786,132 3,893,066 1,946,533 5,839,600 2,919,800 1,459,900 729,950 364,975 1,094,926 547,463 1,642,390 821,195 2,463,586 1,231,793 3,695,380 1,847,690 923,845 2,771,536 1,385,768 692,884 346,442 173,221 519,664 259,832 129,916 64,958 32,479 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661

More profiles

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