λ
Integer Codex

1,268,550

2 × 32 × 52 × 2819
Abundant Even Composite

For 1,268,550, the 36 positive divisors have a total of 3,409,380. Removing 1,268,550 leaves 2,140,830, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 2819
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,409,380
Proper Divisor Sum 2,140,830
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1268549 ← → #1268563

Radix Representation

Decimal 1268550
Binary 100110101101101000110 (21 bits)
Octal 0o4655506
Hexadecimal 0x135B46

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2,819 5,638 8,457 14,095 16,914 25,371 28,190 42,285 50,742 70,475 84,570 126,855 140,950 211,425 253,710 422,850 634,275 1,268,550

Collatz Trajectory (129 steps to reach 1)

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

1,268,550 634,275 1,902,826 951,413 2,854,240 1,427,120 713,560 356,780 178,390 89,195 267,586 133,793 401,380 200,690 100,345 301,036 150,518 75,259 225,778 112,889 338,668 169,334 84,667 254,002 127,001 381,004 190,502 95,251 285,754 142,877 428,632 214,316 107,158 53,579 160,738 80,369 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

More profiles

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