λ
Prime Ledger

638,024

23 × 173 × 461
Deficient Even Composite

638,024 has the prime decomposition 2^3 × 173 × 461. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 173 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,205,820
Proper Divisor Sum 567,796
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #638023 ← → #638047

Radix Representation

Decimal 638024
Binary 10011011110001001000 (20 bits)
Octal 0o2336110
Hexadecimal 0x9BC48

Divisor Catalog (16)

1 2 4 8 173 346 461 692 922 1,384 1,844 3,688 79,753 159,506 319,012 638,024

Collatz Trajectory (79 steps to reach 1)

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

638,024 319,012 159,506 79,753 239,260 119,630 59,815 179,446 89,723 269,170 134,585 403,756 201,878 100,939 302,818 151,409 454,228 227,114 113,557 340,672 170,336 85,168 42,584 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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