λ
Sigma Notebook

9,722,751

3 × 3240917
Deficient Odd Composite

9,722,751 is odd and not a perfect square. Its factorization is 3 × 3240917 and its 4 divisors sum to 12,963,672.

Prime Factor Structure

Factorization String 3 × 3240917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,963,672
Proper Divisor Sum 3,240,921
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9722723 ← → #9722771

Radix Representation

Decimal 9722751
Binary 100101000101101101111111 (24 bits)
Octal 0o45055577
Hexadecimal 0x945B7F

Divisor Catalog (4)

1 3 3,240,917 9,722,751

Collatz Trajectory (88 steps to reach 1)

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

9,722,751 29,168,254 14,584,127 43,752,382 21,876,191 65,628,574 32,814,287 98,442,862 49,221,431 147,664,294 73,832,147 221,496,442 110,748,221 332,244,664 166,122,332 83,061,166 41,530,583 124,591,750 62,295,875 186,887,626 93,443,813 280,331,440 140,165,720 70,082,860 35,041,430 17,520,715 52,562,146 26,281,073 78,843,220 39,421,610 19,710,805 59,132,416 29,566,208 14,783,104 7,391,552 3,695,776 1,847,888 923,944 461,972 230,986 115,493 346,480 173,240 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714

More profiles

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