7,790,328

2³ × 3² × 7 × 13 × 29 × 41

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 29 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 27,518,400

Proper Divisor Sum 19,728,072

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7790327 ← → #7790329

Radix Representation

Decimal	7790328
Binary	11101101101111011111000 (23 bits)
Octal	0o35557370
Hexadecimal	0x76DEF8

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 29 36 39 41 42 52 56 58 63 72 78 82 84 87 91 104 116 117 123 126 156 164 168 174 182 203 232 234 246 252 261 273 287 312 328 348 364 369 377 406 468 492 504 522

Collatz Trajectory (160 steps to reach 1)

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

7,790,328 3,895,164 1,947,582 973,791 2,921,374 1,460,687 4,382,062 2,191,031 6,573,094 3,286,547 9,859,642 4,929,821 14,789,464 7,394,732 3,697,366 1,848,683 5,546,050 2,773,025 8,319,076 4,159,538 2,079,769 6,239,308 3,119,654 1,559,827 4,679,482 2,339,741 7,019,224 3,509,612 1,754,806 877,403 2,632,210 1,316,105 3,948,316 1,974,158 987,079 2,961,238 1,480,619 4,441,858 2,220,929 6,662,788 3,331,394 1,665,697 4,997,092 2,498,546 1,249,273 3,747,820 1,873,910 936,955 2,810,866 1,405,433 4,216,300 2,108,150 1,054,075 3,162,226 1,581,113 4,743,340 2,371,670 1,185,835 3,557,506 1,778,753

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