λ
Integer Codex

6,649,727

7 × 949961
Deficient Odd Composite

For 6,649,727, the 4 positive divisors have a total of 7,599,696. Removing 6,649,727 leaves 949,969, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 949961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,599,696
Proper Divisor Sum 949,969
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6649723 ← → #6649733

Radix Representation

Decimal 6649727
Binary 11001010111011101111111 (23 bits)
Octal 0o31273577
Hexadecimal 0x65777F

Divisor Catalog (4)

1 7 949,961 6,649,727

Collatz Trajectory (139 steps to reach 1)

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

6,649,727 19,949,182 9,974,591 29,923,774 14,961,887 44,885,662 22,442,831 67,328,494 33,664,247 100,992,742 50,496,371 151,489,114 75,744,557 227,233,672 113,616,836 56,808,418 28,404,209 85,212,628 42,606,314 21,303,157 63,909,472 31,954,736 15,977,368 7,988,684 3,994,342 1,997,171 5,991,514 2,995,757 8,987,272 4,493,636 2,246,818 1,123,409 3,370,228 1,685,114 842,557 2,527,672 1,263,836 631,918 315,959 947,878 473,939 1,421,818 710,909 2,132,728 1,066,364 533,182 266,591 799,774 399,887 1,199,662 599,831 1,799,494 899,747 2,699,242 1,349,621 4,048,864 2,024,432 1,012,216 506,108 253,054

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