λ
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Atlas › Integer Profiles › Node 7,047,760

7,047,760

24 × 5 × 37 × 2381
Abundant Even Composite

7,047,760 factors as 2^4 × 5 × 37 × 2381. Its 40 positive divisors give a proper-divisor sum of 9,788,216, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,835,976
Proper Divisor Sum 9,788,216
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7047751 ← → #7047773

Radix Representation

Decimal 7047760
Binary 11010111000101001010000 (23 bits)
Octal 0o32705120
Hexadecimal 0x6B8A50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1,480 2,381 2,960 4,762 9,524 11,905 19,048 23,810 38,096 47,620 88,097 95,240 176,194 190,480 352,388 440,485 704,776 880,970 1,409,552 1,761,940 3,523,880 7,047,760

Collatz Trajectory (173 steps to reach 1)

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

7,047,760 3,523,880 1,761,940 880,970 440,485 1,321,456 660,728 330,364 165,182 82,591 247,774 123,887 371,662 185,831 557,494 278,747 836,242 418,121 1,254,364 627,182 313,591 940,774 470,387 1,411,162 705,581 2,116,744 1,058,372 529,186 264,593 793,780 396,890 198,445 595,336 297,668 148,834 74,417 223,252 111,626 55,813 167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711

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