λ
Integer Codex

272,671

7 × 38953
Deficient Odd Composite

For 272,671, the 4 positive divisors have a total of 311,632. Removing 272,671 leaves 38,961, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 38953
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 311,632
Proper Divisor Sum 38,961
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #272659 ← → #272683

Radix Representation

Decimal 272671
Binary 1000010100100011111 (19 bits)
Octal 0o1024437
Hexadecimal 0x4291F

Divisor Catalog (4)

1 7 38,953 272,671

Collatz Trajectory (163 steps to reach 1)

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

272,671 818,014 409,007 1,227,022 613,511 1,840,534 920,267 2,760,802 1,380,401 4,141,204 2,070,602 1,035,301 3,105,904 1,552,952 776,476 388,238 194,119 582,358 291,179 873,538 436,769 1,310,308 655,154 327,577 982,732 491,366 245,683 737,050 368,525 1,105,576 552,788 276,394 138,197 414,592 207,296 103,648 51,824 25,912 12,956 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381

More profiles

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