9,624,108

2² × 3 × 13 × 17 × 19 × 191

9,624,108 has the prime decomposition 2^2 × 3 × 13 × 17 × 19 × 191. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 17 × 19 × 191

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,095,040

Proper Divisor Sum 17,470,932

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9624103 ← → #9624149

Radix Representation

Decimal	9624108
Binary	100100101101101000101100 (24 bits)
Octal	0o44555054
Hexadecimal	0x92DA2C

Divisor Catalog (60 of 96)

1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 191 204 221 228 247 323 382 442 494 573 646 663 741 764 884 969 988 1,146 1,292 1,326 1,482 1,938 2,292 2,483 2,652 2,964 3,247 3,629 3,876 4,199 4,966 6,494 7,258 7,449 8,398 9,741 9,932 10,887

Collatz Trajectory (132 steps to reach 1)

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

9,624,108 4,812,054 2,406,027 7,218,082 3,609,041 10,827,124 5,413,562 2,706,781 8,120,344 4,060,172 2,030,086 1,015,043 3,045,130 1,522,565 4,567,696 2,283,848 1,141,924 570,962 285,481 856,444 428,222 214,111 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042

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