λ
Prime Ledger

5,285,024

25 × 317 × 521
Deficient Even Composite

5,285,024 has the prime decomposition 2^5 × 317 × 521. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 317 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,457,748
Proper Divisor Sum 5,172,724
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5284999 ← → #5285053

Radix Representation

Decimal 5285024
Binary 10100001010010010100000 (23 bits)
Octal 0o24122240
Hexadecimal 0x50A4A0

Divisor Catalog (24)

1 2 4 8 16 32 317 521 634 1,042 1,268 2,084 2,536 4,168 5,072 8,336 10,144 16,672 165,157 330,314 660,628 1,321,256 2,642,512 5,285,024

Collatz Trajectory (157 steps to reach 1)

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

5,285,024 2,642,512 1,321,256 660,628 330,314 165,157 495,472 247,736 123,868 61,934 30,967 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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