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Atlas › Integer Profiles › Node 9,503,940

9,503,940

22 × 3 × 5 × 151 × 1049
Abundant Even Composite

9,503,940 factors as 2^2 × 3 × 5 × 151 × 1049. Its 48 positive divisors give a proper-divisor sum of 17,308,860, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 151 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,812,800
Proper Divisor Sum 17,308,860
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9503939 ← → #9503947

Radix Representation

Decimal 9503940
Binary 100100010000010011000100 (24 bits)
Octal 0o44202304
Hexadecimal 0x9104C4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1,049 1,510 1,812 2,098 2,265 3,020 3,147 4,196 4,530 5,245 6,294 9,060 10,490 12,588 15,735 20,980 31,470 62,940 158,399 316,798 475,197 633,596 791,995 950,394 1,583,990 1,900,788 2,375,985 3,167,980 4,751,970 9,503,940

Collatz Trajectory (70 steps to reach 1)

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

9,503,940 4,751,970 2,375,985 7,127,956 3,563,978 1,781,989 5,345,968 2,672,984 1,336,492 668,246 334,123 1,002,370 501,185 1,503,556 751,778 375,889 1,127,668 563,834 281,917 845,752 422,876 211,438 105,719 317,158 158,579 475,738 237,869 713,608 356,804 178,402 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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