λ
Harmonic Matrix

1,284,220

22 × 5 × 7 × 9173
Abundant Even Composite

1,284,220 has digital root 1. The neighboring primes are 1284211 and 1284223; its proper-divisor sum differs from the starting integer by 514,024.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 9173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,082,464
Proper Divisor Sum 1,798,244
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1284211 ← → #1284223

Radix Representation

Decimal 1284220
Binary 100111001100001111100 (21 bits)
Octal 0o4714174
Hexadecimal 0x13987C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 9,173 18,346 36,692 45,865 64,211 91,730 128,422 183,460 256,844 321,055 642,110 1,284,220

Collatz Trajectory (217 steps to reach 1)

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

1,284,220 642,110 321,055 963,166 481,583 1,444,750 722,375 2,167,126 1,083,563 3,250,690 1,625,345 4,876,036 2,438,018 1,219,009 3,657,028 1,828,514 914,257 2,742,772 1,371,386 685,693 2,057,080 1,028,540 514,270 257,135 771,406 385,703 1,157,110 578,555 1,735,666 867,833 2,603,500 1,301,750 650,875 1,952,626 976,313 2,928,940 1,464,470 732,235 2,196,706 1,098,353 3,295,060 1,647,530 823,765 2,471,296 1,235,648 617,824 308,912 154,456 77,228 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874

More profiles

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