λ
Integer Codex

67,049

67049
Deficient Odd Prime

For 67,049, the 2 positive divisors have a total of 67,050. Removing 67,049 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 67049
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 67,050
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #67043 ← → #67057

Radix Representation

Decimal 67049
Binary 10000010111101001 (17 bits)
Octal 0o202751
Hexadecimal 0x105E9

Divisor Catalog (2)

1 67,049

Collatz Trajectory (68 steps to reach 1)

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

67,049 201,148 100,574 50,287 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

More profiles

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