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9,302,984

23 × 37 × 53 × 593
Deficient Even Composite

9,302,984 factors as 2^3 × 37 × 53 × 593. Its 32 positive divisors give a proper-divisor sum of 8,980,336, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 53 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,283,320
Proper Divisor Sum 8,980,336
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9302983 ← → #9302987

Radix Representation

Decimal 9302984
Binary 100011011111001111001000 (24 bits)
Octal 0o43371710
Hexadecimal 0x8DF3C8

Divisor Catalog (32)

1 2 4 8 37 53 74 106 148 212 296 424 593 1,186 1,961 2,372 3,922 4,744 7,844 15,688 21,941 31,429 43,882 62,858 87,764 125,716 175,528 251,432 1,162,873 2,325,746 4,651,492 9,302,984

Collatz Trajectory (181 steps to reach 1)

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

9,302,984 4,651,492 2,325,746 1,162,873 3,488,620 1,744,310 872,155 2,616,466 1,308,233 3,924,700 1,962,350 981,175 2,943,526 1,471,763 4,415,290 2,207,645 6,622,936 3,311,468 1,655,734 827,867 2,483,602 1,241,801 3,725,404 1,862,702 931,351 2,794,054 1,397,027 4,191,082 2,095,541 6,286,624 3,143,312 1,571,656 785,828 392,914 196,457 589,372 294,686 147,343 442,030 221,015 663,046 331,523 994,570 497,285 1,491,856 745,928 372,964 186,482 93,241 279,724 139,862 69,931 209,794 104,897 314,692 157,346 78,673 236,020 118,010 59,005

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