λ
Prime Ledger

1,305,284

22 × 47 × 53 × 131
Deficient Even Composite

1,305,284 has the prime decomposition 2^2 × 47 × 53 × 131. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 53 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,395,008
Proper Divisor Sum 1,089,724
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1305253 ← → #1305287

Radix Representation

Decimal 1305284
Binary 100111110101011000100 (21 bits)
Octal 0o4765304
Hexadecimal 0x13EAC4

Divisor Catalog (24)

1 2 4 47 53 94 106 131 188 212 262 524 2,491 4,982 6,157 6,943 9,964 12,314 13,886 24,628 27,772 326,321 652,642 1,305,284

Collatz Trajectory (41 steps to reach 1)

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

1,305,284 652,642 326,321 978,964 489,482 244,741 734,224 367,112 183,556 91,778 45,889 137,668 68,834 34,417 103,252 51,626 25,813 77,440 38,720 19,360 9,680 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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