λ
Harmonic Matrix

1,083,987

32 × 43 × 2801
Deficient Odd Composite

1,083,987 has digital root 9. The neighboring primes are 1083983 and 1084001; its proper-divisor sum differs from the starting integer by -565,230.

Prime Factor Structure

Factorization String 3^2 × 43 × 2801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,602,744
Proper Divisor Sum 518,757
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1083983 ← → #1084001

Radix Representation

Decimal 1083987
Binary 100001000101001010011 (21 bits)
Octal 0o4105123
Hexadecimal 0x108A53

Divisor Catalog (12)

1 3 9 43 129 387 2,801 8,403 25,209 120,443 361,329 1,083,987

Collatz Trajectory (103 steps to reach 1)

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

1,083,987 3,251,962 1,625,981 4,877,944 2,438,972 1,219,486 609,743 1,829,230 914,615 2,743,846 1,371,923 4,115,770 2,057,885 6,173,656 3,086,828 1,543,414 771,707 2,315,122 1,157,561 3,472,684 1,736,342 868,171 2,604,514 1,302,257 3,906,772 1,953,386 976,693 2,930,080 1,465,040 732,520 366,260 183,130 91,565 274,696 137,348 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191

More profiles

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