λ
Math Directory

1,344,065

5 × 268813
Deficient Odd Composite

1,344,065 factors as 5 × 268813. Its 4 positive divisors give a proper-divisor sum of 268,819, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 5 × 268813
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,612,884
Proper Divisor Sum 268,819
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1344053 ← → #1344073

Radix Representation

Decimal 1344065
Binary 101001000001001000001 (21 bits)
Octal 0o5101101
Hexadecimal 0x148241

Divisor Catalog (4)

1 5 268,813 1,344,065

Collatz Trajectory (137 steps to reach 1)

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

1,344,065 4,032,196 2,016,098 1,008,049 3,024,148 1,512,074 756,037 2,268,112 1,134,056 567,028 283,514 141,757 425,272 212,636 106,318 53,159 159,478 79,739 239,218 119,609 358,828 179,414 89,707 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742 181,871 545,614 272,807 818,422 409,211 1,227,634 613,817 1,841,452

More profiles

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