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Atlas › Integer Profiles › Node 6,972,750

6,972,750

2 × 33 × 53 × 1033
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5^3 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,356,480
Proper Divisor Sum 12,383,730
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6972743 ← → #6972767

Radix Representation

Decimal 6972750
Binary 11010100110010101001110 (23 bits)
Octal 0o32462516
Hexadecimal 0x6A654E

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1,033 1,125 1,350 2,066 2,250 3,099 3,375 5,165 6,198 6,750 9,297 10,330 15,495 18,594 25,825 27,891 30,990 46,485 51,650 55,782 77,475 92,970 129,125 139,455 154,950 232,425 258,250 278,910 387,375 464,850 697,275 774,750 1,162,125

Collatz Trajectory (160 steps to reach 1)

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

6,972,750 3,486,375 10,459,126 5,229,563 15,688,690 7,844,345 23,533,036 11,766,518 5,883,259 17,649,778 8,824,889 26,474,668 13,237,334 6,618,667 19,856,002 9,928,001 29,784,004 14,892,002 7,446,001 22,338,004 11,169,002 5,584,501 16,753,504 8,376,752 4,188,376 2,094,188 1,047,094 523,547 1,570,642 785,321 2,355,964 1,177,982 588,991 1,766,974 883,487 2,650,462 1,325,231 3,975,694 1,987,847 5,963,542 2,981,771 8,945,314 4,472,657 13,417,972 6,708,986 3,354,493 10,063,480 5,031,740 2,515,870 1,257,935 3,773,806 1,886,903 5,660,710 2,830,355 8,491,066 4,245,533 12,736,600 6,368,300 3,184,150 1,592,075

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