λ
Prime Ledger

1,280,188

22 × 7 × 13 × 3517
Abundant Even Composite

1,280,188 has the prime decomposition 2^2 × 7 × 13 × 3517. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 3517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,758,112
Proper Divisor Sum 1,477,924
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1280183 ← → #1280221

Radix Representation

Decimal 1280188
Binary 100111000100010111100 (21 bits)
Octal 0o4704274
Hexadecimal 0x1388BC

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 3,517 7,034 14,068 24,619 45,721 49,238 91,442 98,476 182,884 320,047 640,094 1,280,188

Collatz Trajectory (217 steps to reach 1)

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

1,280,188 640,094 320,047 960,142 480,071 1,440,214 720,107 2,160,322 1,080,161 3,240,484 1,620,242 810,121 2,430,364 1,215,182 607,591 1,822,774 911,387 2,734,162 1,367,081 4,101,244 2,050,622 1,025,311 3,075,934 1,537,967 4,613,902 2,306,951 6,920,854 3,460,427 10,381,282 5,190,641 15,571,924 7,785,962 3,892,981 11,678,944 5,839,472 2,919,736 1,459,868 729,934 364,967 1,094,902 547,451 1,642,354 821,177 2,463,532 1,231,766 615,883 1,847,650 923,825 2,771,476 1,385,738 692,869 2,078,608 1,039,304 519,652 259,826 129,913 389,740 194,870 97,435 292,306

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