λ
Modular Archive

1,080,123

3 × 11 × 71 × 461
Deficient Odd Composite

The decimal integer 1,080,123 is 100000111101100111011 in binary (21 bits), 4075473 in octal and 107B3B in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 3 × 11 × 71 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,596,672
Proper Divisor Sum 516,549
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1080119 ← → #1080137

Radix Representation

Decimal 1080123
Binary 100000111101100111011 (21 bits)
Octal 0o4075473
Hexadecimal 0x107B3B

Divisor Catalog (16)

1 3 11 33 71 213 461 781 1,383 2,343 5,071 15,213 32,731 98,193 360,041 1,080,123

Collatz Trajectory (134 steps to reach 1)

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

1,080,123 3,240,370 1,620,185 4,860,556 2,430,278 1,215,139 3,645,418 1,822,709 5,468,128 2,734,064 1,367,032 683,516 341,758 170,879 512,638 256,319 768,958 384,479 1,153,438 576,719 1,730,158 865,079 2,595,238 1,297,619 3,892,858 1,946,429 5,839,288 2,919,644 1,459,822 729,911 2,189,734 1,094,867 3,284,602 1,642,301 4,926,904 2,463,452 1,231,726 615,863 1,847,590 923,795 2,771,386 1,385,693 4,157,080 2,078,540 1,039,270 519,635 1,558,906 779,453 2,338,360 1,169,180 584,590 292,295 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748

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