λ
Harmonic Matrix

1,844,284

22 × 13 × 29 × 1223
Deficient Even Composite

1,844,284 has digital root 4. The neighboring primes are 1844263 and 1844287; its proper-divisor sum differs from the starting integer by -90,008.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 1223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,598,560
Proper Divisor Sum 1,754,276
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1844263 ← → #1844287

Radix Representation

Decimal 1844284
Binary 111000010010000111100 (21 bits)
Octal 0o7022074
Hexadecimal 0x1C243C

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,223 1,508 2,446 4,892 15,899 31,798 35,467 63,596 70,934 141,868 461,071 922,142 1,844,284

Collatz Trajectory (277 steps to reach 1)

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

1,844,284 922,142 461,071 1,383,214 691,607 2,074,822 1,037,411 3,112,234 1,556,117 4,668,352 2,334,176 1,167,088 583,544 291,772 145,886 72,943 218,830 109,415 328,246 164,123 492,370 246,185 738,556 369,278 184,639 553,918 276,959 830,878 415,439 1,246,318 623,159 1,869,478 934,739 2,804,218 1,402,109 4,206,328 2,103,164 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031 3,549,094 1,774,547 5,323,642 2,661,821 7,985,464 3,992,732 1,996,366 998,183 2,994,550 1,497,275 4,491,826 2,245,913 6,737,740 3,368,870 1,684,435 5,053,306 2,526,653

More profiles

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