λ
Integer Codex

6,347,657

6347657
Deficient Odd Prime

For 6,347,657, the 2 positive divisors have a total of 6,347,658. Removing 6,347,657 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 6347657
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,347,658
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6347641 ← → #6347659

Radix Representation

Decimal 6347657
Binary 11000001101101110001001 (23 bits)
Octal 0o30155611
Hexadecimal 0x60DB89

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

6,347,657 19,042,972 9,521,486 4,760,743 14,282,230 7,141,115 21,423,346 10,711,673 32,135,020 16,067,510 8,033,755 24,101,266 12,050,633 36,151,900 18,075,950 9,037,975 27,113,926 13,556,963 40,670,890 20,335,445 61,006,336 30,503,168 15,251,584 7,625,792 3,812,896 1,906,448 953,224 476,612 238,306 119,153 357,460 178,730 89,365 268,096 134,048 67,024 33,512 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188

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