λ
Ratio Atlas

6,275,967

3 × 761 × 2749
Deficient Odd Composite

6,275,967 factors as 3 × 761 × 2749. Its 8 positive divisors give a proper-divisor sum of 2,106,033, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 761 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,382,000
Proper Divisor Sum 2,106,033
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6275953 ← → #6275999

Radix Representation

Decimal 6275967
Binary 10111111100001101111111 (23 bits)
Octal 0o27741577
Hexadecimal 0x5FC37F

Divisor Catalog (8)

1 3 761 2,283 2,749 8,247 2,091,989 6,275,967

Collatz Trajectory (134 steps to reach 1)

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

6,275,967 18,827,902 9,413,951 28,241,854 14,120,927 42,362,782 21,181,391 63,544,174 31,772,087 95,316,262 47,658,131 142,974,394 71,487,197 214,461,592 107,230,796 53,615,398 26,807,699 80,423,098 40,211,549 120,634,648 60,317,324 30,158,662 15,079,331 45,237,994 22,618,997 67,856,992 33,928,496 16,964,248 8,482,124 4,241,062 2,120,531 6,361,594 3,180,797 9,542,392 4,771,196 2,385,598 1,192,799 3,578,398 1,789,199 5,367,598 2,683,799 8,051,398 4,025,699 12,077,098 6,038,549 18,115,648 9,057,824 4,528,912 2,264,456 1,132,228 566,114 283,057 849,172 424,586 212,293 636,880 318,440 159,220 79,610 39,805

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