λ
Match Zalai

6,117,423

3 × 13 × 227 × 691
Deficient Odd Composite

6,117,423 factors as 3 × 13 × 227 × 691. Its 16 positive divisors give a proper-divisor sum of 2,718,033, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 13 × 227 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,835,456
Proper Divisor Sum 2,718,033
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6117409 ← → #6117437

Radix Representation

Decimal 6117423
Binary 10111010101100000101111 (23 bits)
Octal 0o27254057
Hexadecimal 0x5D582F

Divisor Catalog (16)

1 3 13 39 227 681 691 2,073 2,951 8,853 8,983 26,949 156,857 470,571 2,039,141 6,117,423

Collatz Trajectory (227 steps to reach 1)

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

6,117,423 18,352,270 9,176,135 27,528,406 13,764,203 41,292,610 20,646,305 61,938,916 30,969,458 15,484,729 46,454,188 23,227,094 11,613,547 34,840,642 17,420,321 52,260,964 26,130,482 13,065,241 39,195,724 19,597,862 9,798,931 29,396,794 14,698,397 44,095,192 22,047,596 11,023,798 5,511,899 16,535,698 8,267,849 24,803,548 12,401,774 6,200,887 18,602,662 9,301,331 27,903,994 13,951,997 41,855,992 20,927,996 10,463,998 5,231,999 15,695,998 7,847,999 23,543,998 11,771,999 35,315,998 17,657,999 52,973,998 26,486,999 79,460,998 39,730,499 119,191,498 59,595,749 178,787,248 89,393,624 44,696,812 22,348,406 11,174,203 33,522,610 16,761,305 50,283,916

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