λ
Harmonic Matrix

1,083,140

22 × 5 × 31 × 1747
Abundant Even Composite

1,083,140 has digital root 8. The neighboring primes are 1083119 and 1083151; its proper-divisor sum differs from the starting integer by 183,032.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,349,312
Proper Divisor Sum 1,266,172
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1083119 ← → #1083151

Radix Representation

Decimal 1083140
Binary 100001000011100000100 (21 bits)
Octal 0o4103404
Hexadecimal 0x108704

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 1,747 3,494 6,988 8,735 17,470 34,940 54,157 108,314 216,628 270,785 541,570 1,083,140

Collatz Trajectory (116 steps to reach 1)

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

1,083,140 541,570 270,785 812,356 406,178 203,089 609,268 304,634 152,317 456,952 228,476 114,238 57,119 171,358 85,679 257,038 128,519 385,558 192,779 578,338 289,169 867,508 433,754 216,877 650,632 325,316 162,658 81,329 243,988 121,994 60,997 182,992 91,496 45,748 22,874 11,437 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147

More profiles

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