λ
Modular Archive

638,575

52 × 7 × 41 × 89
Deficient Odd Composite

The decimal integer 638,575 is 10011011111001101111 in binary (20 bits), 2337157 in octal and 9BE6F in hexadecimal. Its digit sum is 34.

Prime Factor Structure

Factorization String 5^2 × 7 × 41 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 937,440
Proper Divisor Sum 298,865
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #638567 ← → #638581

Radix Representation

Decimal 638575
Binary 10011011111001101111 (20 bits)
Octal 0o2337157
Hexadecimal 0x9BE6F

Divisor Catalog (24)

1 5 7 25 35 41 89 175 205 287 445 623 1,025 1,435 2,225 3,115 3,649 7,175 15,575 18,245 25,543 91,225 127,715 638,575

Collatz Trajectory (123 steps to reach 1)

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

638,575 1,915,726 957,863 2,873,590 1,436,795 4,310,386 2,155,193 6,465,580 3,232,790 1,616,395 4,849,186 2,424,593 7,273,780 3,636,890 1,818,445 5,455,336 2,727,668 1,363,834 681,917 2,045,752 1,022,876 511,438 255,719 767,158 383,579 1,150,738 575,369 1,726,108 863,054 431,527 1,294,582 647,291 1,941,874 970,937 2,912,812 1,456,406 728,203 2,184,610 1,092,305 3,276,916 1,638,458 819,229 2,457,688 1,228,844 614,422 307,211 921,634 460,817 1,382,452 691,226 345,613 1,036,840 518,420 259,210 129,605 388,816 194,408 97,204 48,602 24,301

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