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Atlas › Integer Profiles › Node 9,529,792

9,529,792

26 × 17 × 19 × 461
Abundant Even Composite

9,529,792 factors as 2^6 × 17 × 19 × 461. Its 56 positive divisors give a proper-divisor sum of 11,592,848, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 19 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 21,122,640
Proper Divisor Sum 11,592,848
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9529787 ← → #9529801

Radix Representation

Decimal 9529792
Binary 100100010110100111000000 (24 bits)
Octal 0o44264700
Hexadecimal 0x9169C0

Divisor Catalog (56)

1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 461 544 608 646 922 1,088 1,216 1,292 1,844 2,584 3,688 5,168 7,376 7,837 8,759 10,336 14,752 15,674 17,518 20,672 29,504 31,348 35,036 62,696 70,072 125,392 140,144 148,903 250,784 280,288 297,806 501,568 560,576 595,612 1,191,224 2,382,448 4,764,896 9,529,792

Collatz Trajectory (101 steps to reach 1)

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

9,529,792 4,764,896 2,382,448 1,191,224 595,612 297,806 148,903 446,710 223,355 670,066 335,033 1,005,100 502,550 251,275 753,826 376,913 1,130,740 565,370 282,685 848,056 424,028 212,014 106,007 318,022 159,011 477,034 238,517 715,552 357,776 178,888 89,444 44,722 22,361 67,084 33,542 16,771 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084

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