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Atlas › Integer Profiles › Node 11,731,520

11,731,520

26 × 5 × 61 × 601
Abundant Even Composite

11,731,520 factors as 2^6 × 5 × 61 × 601. Its 56 positive divisors give a proper-divisor sum of 16,709,368, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 61 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 28,440,888
Proper Divisor Sum 16,709,368
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11731519 ← → #11731537

Radix Representation

Decimal 11731520
Binary 101100110000001001000000 (24 bits)
Octal 0o54601100
Hexadecimal 0xB30240

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 601 610 976 1,202 1,220 1,952 2,404 2,440 3,005 3,904 4,808 4,880 6,010 9,616 9,760 12,020 19,232 19,520 24,040 36,661 38,464 48,080 73,322 96,160 146,644 183,305 192,320 293,288 366,610 586,576 733,220 1,173,152 1,466,440 2,346,304 2,932,880 5,865,760 11,731,520

Collatz Trajectory (184 steps to reach 1)

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

11,731,520 5,865,760 2,932,880 1,466,440 733,220 366,610 183,305 549,916 274,958 137,479 412,438 206,219 618,658 309,329 927,988 463,994 231,997 695,992 347,996 173,998 86,999 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069

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