9,302,629

7 × 257 × 5171

9,302,629 factors as 7 × 257 × 5171. Its 8 positive divisors give a proper-divisor sum of 1,372,379, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 7 × 257 × 5171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,675,008

Proper Divisor Sum 1,372,379

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9302627 ← → #9302639

Radix Representation

Decimal	9302629
Binary	100011011111001001100101 (24 bits)
Octal	0o43371145
Hexadecimal	0x8DF265

Divisor Catalog (8)

1 7 257 1,799 5,171 36,197 1,328,947 9,302,629

Collatz Trajectory (163 steps to reach 1)

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

9,302,629 27,907,888 13,953,944 6,976,972 3,488,486 1,744,243 5,232,730 2,616,365 7,849,096 3,924,548 1,962,274 981,137 2,943,412 1,471,706 735,853 2,207,560 1,103,780 551,890 275,945 827,836 413,918 206,959 620,878 310,439 931,318 465,659 1,396,978 698,489 2,095,468 1,047,734 523,867 1,571,602 785,801 2,357,404 1,178,702 589,351 1,768,054 884,027 2,652,082 1,326,041 3,978,124 1,989,062 994,531 2,983,594 1,491,797 4,475,392 2,237,696 1,118,848 559,424 279,712 139,856 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639

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