λ
Modular Archive

744,255

33 × 5 × 37 × 149
Deficient Odd Composite

The decimal integer 744,255 is 10110101101100111111 in binary (20 bits), 2655477 in octal and B5B3F in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^3 × 5 × 37 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,368,000
Proper Divisor Sum 623,745
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #744253 ← → #744283

Radix Representation

Decimal 744255
Binary 10110101101100111111 (20 bits)
Octal 0o2655477
Hexadecimal 0xB5B3F

Divisor Catalog (32)

1 3 5 9 15 27 37 45 111 135 149 185 333 447 555 745 999 1,341 1,665 2,235 4,023 4,995 5,513 6,705 16,539 20,115 27,565 49,617 82,695 148,851 248,085 744,255

Collatz Trajectory (118 steps to reach 1)

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

744,255 2,232,766 1,116,383 3,349,150 1,674,575 5,023,726 2,511,863 7,535,590 3,767,795 11,303,386 5,651,693 16,955,080 8,477,540 4,238,770 2,119,385 6,358,156 3,179,078 1,589,539 4,768,618 2,384,309 7,152,928 3,576,464 1,788,232 894,116 447,058 223,529 670,588 335,294 167,647 502,942 251,471 754,414 377,207 1,131,622 565,811 1,697,434 848,717 2,546,152 1,273,076 636,538 318,269 954,808 477,404 238,702 119,351 358,054 179,027 537,082 268,541 805,624 402,812 201,406 100,703 302,110 151,055 453,166 226,583 679,750 339,875 1,019,626

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