λ
Prime Ledger

2,576,150

2 × 52 × 67 × 769
Deficient Even Composite

2,576,150 has the prime decomposition 2 × 5^2 × 67 × 769. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 67 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,869,480
Proper Divisor Sum 2,293,330
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2576137 ← → #2576159

Radix Representation

Decimal 2576150
Binary 1001110100111100010110 (22 bits)
Octal 0o11647426
Hexadecimal 0x274F16

Divisor Catalog (24)

1 2 5 10 25 50 67 134 335 670 769 1,538 1,675 3,350 3,845 7,690 19,225 38,450 51,523 103,046 257,615 515,230 1,288,075 2,576,150

Collatz Trajectory (81 steps to reach 1)

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

2,576,150 1,288,075 3,864,226 1,932,113 5,796,340 2,898,170 1,449,085 4,347,256 2,173,628 1,086,814 543,407 1,630,222 815,111 2,445,334 1,222,667 3,668,002 1,834,001 5,502,004 2,751,002 1,375,501 4,126,504 2,063,252 1,031,626 515,813 1,547,440 773,720 386,860 193,430 96,715 290,146 145,073 435,220 217,610 108,805 326,416 163,208 81,604 40,802 20,401 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76

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