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Atlas › Integer Profiles › Node 9,044,992

9,044,992

210 × 112 × 73
Abundant Even Composite

9,044,992 factors as 2^10 × 11^2 × 73. Its 66 positive divisors give a proper-divisor sum of 11,101,582, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^10 × 11^2 × 73
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 66
Divisor Sum (σ) 20,146,574
Proper Divisor Sum 11,101,582
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9044989 ← → #9044993

Radix Representation

Decimal 9044992
Binary 100010100000010000000000 (24 bits)
Octal 0o42402000
Hexadecimal 0x8A0400

Divisor Catalog (60 of 66)

1 2 4 8 11 16 22 32 44 64 73 88 121 128 146 176 242 256 292 352 484 512 584 704 803 968 1,024 1,168 1,408 1,606 1,936 2,336 2,816 3,212 3,872 4,672 5,632 6,424 7,744 8,833 9,344 11,264 12,848 15,488 17,666 18,688 25,696 30,976 35,332 37,376 51,392 61,952 70,664 74,752 102,784 123,904 141,328 205,568 282,656 411,136

Collatz Trajectory (88 steps to reach 1)

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

9,044,992 4,522,496 2,261,248 1,130,624 565,312 282,656 141,328 70,664 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

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