λ
Modular Archive

638,040

23 × 3 × 5 × 13 × 409
Abundant Even Composite

The decimal integer 638,040 is 10011011110001011000 in binary (20 bits), 2336130 in octal and 9BC58 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,066,400
Proper Divisor Sum 1,428,360
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #638023 ← → #638047

Radix Representation

Decimal 638040
Binary 10011011110001011000 (20 bits)
Octal 0o2336130
Hexadecimal 0x9BC58

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 409 520 780 818 1,227 1,560 1,636 2,045 2,454 3,272 4,090 4,908 5,317 6,135 8,180 9,816 10,634 12,270 15,951 16,360 21,268 24,540 26,585 31,902 42,536 49,080 53,170 63,804 79,755 106,340 127,608

Collatz Trajectory (216 steps to reach 1)

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

638,040 319,020 159,510 79,755 239,266 119,633 358,900 179,450 89,725 269,176 134,588 67,294 33,647 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299

More profiles

← Previous Integer #638,039 Browse Full Index Next Integer #638,041 →