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Atlas › Integer Profiles › Node 9,506,084

9,506,084

22 × 7 × 23 × 29 × 509
Abundant Even Composite

9,506,084 factors as 2^2 × 7 × 23 × 29 × 509. Its 48 positive divisors give a proper-divisor sum of 11,057,116, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 29 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,563,200
Proper Divisor Sum 11,057,116
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9506083 ← → #9506093

Radix Representation

Decimal 9506084
Binary 100100010000110100100100 (24 bits)
Octal 0o44206444
Hexadecimal 0x910D24

Divisor Catalog (48)

1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 509 644 667 812 1,018 1,334 2,036 2,668 3,563 4,669 7,126 9,338 11,707 14,252 14,761 18,676 23,414 29,522 46,828 59,044 81,949 103,327 163,898 206,654 327,796 339,503 413,308 679,006 1,358,012 2,376,521 4,753,042 9,506,084

Collatz Trajectory (101 steps to reach 1)

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

9,506,084 4,753,042 2,376,521 7,129,564 3,564,782 1,782,391 5,347,174 2,673,587 8,020,762 4,010,381 12,031,144 6,015,572 3,007,786 1,503,893 4,511,680 2,255,840 1,127,920 563,960 281,980 140,990 70,495 211,486 105,743 317,230 158,615 475,846 237,923 713,770 356,885 1,070,656 535,328 267,664 133,832 66,916 33,458 16,729 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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