9,306,024

2³ × 3 × 7 × 13 × 4261

9,306,024 has the prime decomposition 2^3 × 3 × 7 × 13 × 4261. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 4261

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 28,640,640

Proper Divisor Sum 19,334,616

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9306023 ← → #9306049

Radix Representation

Decimal	9306024
Binary	100011011111111110101000 (24 bits)
Octal	0o43377650
Hexadecimal	0x8DFFA8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1,092 2,184 4,261 8,522 12,783 17,044 25,566 29,827 34,088 51,132 55,393 59,654 89,481 102,264 110,786 119,308 166,179 178,962 221,572 238,616 332,358 357,924 387,751 443,144 664,716 715,848 775,502 1,163,253 1,329,432 1,551,004

Collatz Trajectory (163 steps to reach 1)

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

9,306,024 4,653,012 2,326,506 1,163,253 3,489,760 1,744,880 872,440 436,220 218,110 109,055 327,166 163,583 490,750 245,375 736,126 368,063 1,104,190 552,095 1,656,286 828,143 2,484,430 1,242,215 3,726,646 1,863,323 5,589,970 2,794,985 8,384,956 4,192,478 2,096,239 6,288,718 3,144,359 9,433,078 4,716,539 14,149,618 7,074,809 21,224,428 10,612,214 5,306,107 15,918,322 7,959,161 23,877,484 11,938,742 5,969,371 17,908,114 8,954,057 26,862,172 13,431,086 6,715,543 20,146,630 10,073,315 30,219,946 15,109,973 45,329,920 22,664,960 11,332,480 5,666,240 2,833,120 1,416,560 708,280 354,140

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