λ
Sigma Notebook

9,200,757

3 × 17 × 223 × 809
Deficient Odd Composite

9,200,757 is odd and not a perfect square. Its factorization is 3 × 17 × 223 × 809 and its 16 divisors sum to 13,063,680.

Prime Factor Structure

Factorization String 3 × 17 × 223 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,063,680
Proper Divisor Sum 3,862,923
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9200717 ← → #9200761

Radix Representation

Decimal 9200757
Binary 100011000110010001110101 (24 bits)
Octal 0o43062165
Hexadecimal 0x8C6475

Divisor Catalog (16)

1 3 17 51 223 669 809 2,427 3,791 11,373 13,753 41,259 180,407 541,221 3,066,919 9,200,757

Collatz Trajectory (150 steps to reach 1)

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

9,200,757 27,602,272 13,801,136 6,900,568 3,450,284 1,725,142 862,571 2,587,714 1,293,857 3,881,572 1,940,786 970,393 2,911,180 1,455,590 727,795 2,183,386 1,091,693 3,275,080 1,637,540 818,770 409,385 1,228,156 614,078 307,039 921,118 460,559 1,381,678 690,839 2,072,518 1,036,259 3,108,778 1,554,389 4,663,168 2,331,584 1,165,792 582,896 291,448 145,724 72,862 36,431 109,294 54,647 163,942 81,971 245,914 122,957 368,872 184,436 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360

More profiles

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