λ
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Atlas › Integer Profiles › Node 9,503,784

9,503,784

23 × 33 × 23 × 1913
Abundant Even Composite

9,503,784 factors as 2^3 × 3^3 × 23 × 1913. Its 64 positive divisors give a proper-divisor sum of 18,057,816, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 23 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,561,600
Proper Divisor Sum 18,057,816
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9503777 ← → #9503843

Radix Representation

Decimal 9503784
Binary 100100010000010000101000 (24 bits)
Octal 0o44202050
Hexadecimal 0x910428

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1,242 1,656 1,913 2,484 3,826 4,968 5,739 7,652 11,478 15,304 17,217 22,956 34,434 43,999 45,912 51,651 68,868 87,998 103,302 131,997 137,736 175,996 206,604 263,994 351,992 395,991 413,208 527,988 791,982 1,055,976 1,187,973 1,583,964

Collatz Trajectory (70 steps to reach 1)

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

9,503,784 4,751,892 2,375,946 1,187,973 3,563,920 1,781,960 890,980 445,490 222,745 668,236 334,118 167,059 501,178 250,589 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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