λ
Ratio Atlas

7,006,772

22 × 1751693
Deficient Even Composite

7,006,772 factors as 2^2 × 1751693. Its 6 positive divisors give a proper-divisor sum of 5,255,086, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 1751693
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,261,858
Proper Divisor Sum 5,255,086
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7006757 ← → #7006787

Radix Representation

Decimal 7006772
Binary 11010101110101000110100 (23 bits)
Octal 0o32565064
Hexadecimal 0x6AEA34

Divisor Catalog (6)

1 2 4 1,751,693 3,503,386 7,006,772

Collatz Trajectory (222 steps to reach 1)

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

7,006,772 3,503,386 1,751,693 5,255,080 2,627,540 1,313,770 656,885 1,970,656 985,328 492,664 246,332 123,166 61,583 184,750 92,375 277,126 138,563 415,690 207,845 623,536 311,768 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411

More profiles

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