λ
Integer Codex

8,257,357

8257357
Deficient Odd Prime

For 8,257,357, the 2 positive divisors have a total of 8,257,358. Removing 8,257,357 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8257357
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,257,358
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8257351 ← → #8257363

Radix Representation

Decimal 8257357
Binary 11111011111111101001101 (23 bits)
Octal 0o37377515
Hexadecimal 0x7DFF4D

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,257,357 24,772,072 12,386,036 6,193,018 3,096,509 9,289,528 4,644,764 2,322,382 1,161,191 3,483,574 1,741,787 5,225,362 2,612,681 7,838,044 3,919,022 1,959,511 5,878,534 2,939,267 8,817,802 4,408,901 13,226,704 6,613,352 3,306,676 1,653,338 826,669 2,480,008 1,240,004 620,002 310,001 930,004 465,002 232,501 697,504 348,752 174,376 87,188 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734

More profiles

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