λ
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Atlas › Integer Profiles › Node 9,302,048

9,302,048

25 × 7 × 131 × 317
Abundant Even Composite

9,302,048 factors as 2^5 × 7 × 131 × 317. Its 48 positive divisors give a proper-divisor sum of 11,853,856, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 131 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,155,904
Proper Divisor Sum 11,853,856
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9302023 ← → #9302057

Radix Representation

Decimal 9302048
Binary 100011011111000000100000 (24 bits)
Octal 0o43370040
Hexadecimal 0x8DF020

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 131 224 262 317 524 634 917 1,048 1,268 1,834 2,096 2,219 2,536 3,668 4,192 4,438 5,072 7,336 8,876 10,144 14,672 17,752 29,344 35,504 41,527 71,008 83,054 166,108 290,689 332,216 581,378 664,432 1,162,756 1,328,864 2,325,512 4,651,024 9,302,048

Collatz Trajectory (163 steps to reach 1)

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

9,302,048 4,651,024 2,325,512 1,162,756 581,378 290,689 872,068 436,034 218,017 654,052 327,026 163,513 490,540 245,270 122,635 367,906 183,953 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020

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