λ
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Atlas › Integer Profiles › Node 9,026,432

9,026,432

27 × 97 × 727
Abundant Even Composite

9,026,432 factors as 2^7 × 97 × 727. Its 32 positive divisors give a proper-divisor sum of 9,166,288, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^7 × 97 × 727
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,192,720
Proper Divisor Sum 9,166,288
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9026429 ← → #9026447

Radix Representation

Decimal 9026432
Binary 100010011011101110000000 (24 bits)
Octal 0o42335600
Hexadecimal 0x89BB80

Divisor Catalog (32)

1 2 4 8 16 32 64 97 128 194 388 727 776 1,454 1,552 2,908 3,104 5,816 6,208 11,632 12,416 23,264 46,528 70,519 93,056 141,038 282,076 564,152 1,128,304 2,256,608 4,513,216 9,026,432

Collatz Trajectory (181 steps to reach 1)

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

9,026,432 4,513,216 2,256,608 1,128,304 564,152 282,076 141,038 70,519 211,558 105,779 317,338 158,669 476,008 238,004 119,002 59,501 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592

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