λ
Sigma Notebook

9,192,687

3 × 7 × 37 × 11831
Deficient Odd Composite

9,192,687 is odd and not a perfect square. Its factorization is 3 × 7 × 37 × 11831 and its 16 divisors sum to 14,387,712.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 11831
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,387,712
Proper Divisor Sum 5,195,025
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9192679 ← → #9192697

Radix Representation

Decimal 9192687
Binary 100011000100010011101111 (24 bits)
Octal 0o43042357
Hexadecimal 0x8C44EF

Divisor Catalog (16)

1 3 7 21 37 111 259 777 11,831 35,493 82,817 248,451 437,747 1,313,241 3,064,229 9,192,687

Collatz Trajectory (212 steps to reach 1)

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

9,192,687 27,578,062 13,789,031 41,367,094 20,683,547 62,050,642 31,025,321 93,075,964 46,537,982 23,268,991 69,806,974 34,903,487 104,710,462 52,355,231 157,065,694 78,532,847 235,598,542 117,799,271 353,397,814 176,698,907 530,096,722 265,048,361 795,145,084 397,572,542 198,786,271 596,358,814 298,179,407 894,538,222 447,269,111 1,341,807,334 670,903,667 2,012,711,002 1,006,355,501 3,019,066,504 1,509,533,252 754,766,626 377,383,313 1,132,149,940 566,074,970 283,037,485 849,112,456 424,556,228 212,278,114 106,139,057 318,417,172 159,208,586 79,604,293 238,812,880 119,406,440 59,703,220 29,851,610 14,925,805 44,777,416 22,388,708 11,194,354 5,597,177 16,791,532 8,395,766 4,197,883 12,593,650

More profiles

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