9,248,680

2³ × 5 × 7 × 17 × 29 × 67

9,248,680 is even and not a perfect square. Its factorization is 2^3 × 5 × 7 × 17 × 29 × 67 and its 128 divisors sum to 26,438,400.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 29 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 26,438,400

Proper Divisor Sum 17,189,720

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9248677 ← → #9248683

Radix Representation

Decimal	9248680
Binary	100011010001111110101000 (24 bits)
Octal	0o43217650
Hexadecimal	0x8D1FA8

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 67 68 70 85 116 119 134 136 140 145 170 203 232 238 268 280 290 335 340 406 469 476 493 536 580 595 670 680 812 938 952 986 1,015 1,139 1,160 1,190 1,340 1,624 1,876 1,943 1,972 2,030 2,278

Collatz Trajectory (194 steps to reach 1)

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

9,248,680 4,624,340 2,312,170 1,156,085 3,468,256 1,734,128 867,064 433,532 216,766 108,383 325,150 162,575 487,726 243,863 731,590 365,795 1,097,386 548,693 1,646,080 823,040 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633

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