9,506,574

2 × 3² × 7 × 11 × 19³

9,506,574 factors as 2 × 3^2 × 7 × 11 × 19^3. Its 96 positive divisors give a proper-divisor sum of 17,599,986, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 19^3

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,106,560

Proper Divisor Sum 17,599,986

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9506543 ← → #9506597

Radix Representation

Decimal	9506574
Binary	100100010000111100001110 (24 bits)
Octal	0o44207416
Hexadecimal	0x910F0E

Divisor Catalog (60 of 96)

1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 361 399 418 462 627 693 722 798 1,083 1,197 1,254 1,386 1,463 1,881 2,166 2,394 2,527 2,926 3,249 3,762 3,971 4,389 5,054 6,498 6,859 7,581 7,942 8,778 11,913 13,167

Collatz Trajectory (163 steps to reach 1)

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

9,506,574 4,753,287 14,259,862 7,129,931 21,389,794 10,694,897 32,084,692 16,042,346 8,021,173 24,063,520 12,031,760 6,015,880 3,007,940 1,503,970 751,985 2,255,956 1,127,978 563,989 1,691,968 845,984 422,992 211,496 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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