λ
Integer Codex

8,567,257

8567257
Deficient Odd Prime

For 8,567,257, the 2 positive divisors have a total of 8,567,258. Removing 8,567,257 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8567257
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,567,258
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8567243 ← → #8567261

Radix Representation

Decimal 8567257
Binary 100000101011100111011001 (24 bits)
Octal 0o40534731
Hexadecimal 0x82B9D9

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,567,257 25,701,772 12,850,886 6,425,443 19,276,330 9,638,165 28,914,496 14,457,248 7,228,624 3,614,312 1,807,156 903,578 451,789 1,355,368 677,684 338,842 169,421 508,264 254,132 127,066 63,533 190,600 95,300 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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