λ
Integer Codex

1,202,284

22 × 41 × 7331
Deficient Even Composite

For 1,202,284, the 12 positive divisors have a total of 2,155,608. Removing 1,202,284 leaves 953,324, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 41 × 7331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,155,608
Proper Divisor Sum 953,324
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1202269 ← → #1202293

Radix Representation

Decimal 1202284
Binary 100100101100001101100 (21 bits)
Octal 0o4454154
Hexadecimal 0x12586C

Divisor Catalog (12)

1 2 4 41 82 164 7,331 14,662 29,324 300,571 601,142 1,202,284

Collatz Trajectory (235 steps to reach 1)

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

1,202,284 601,142 300,571 901,714 450,857 1,352,572 676,286 338,143 1,014,430 507,215 1,521,646 760,823 2,282,470 1,141,235 3,423,706 1,711,853 5,135,560 2,567,780 1,283,890 641,945 1,925,836 962,918 481,459 1,444,378 722,189 2,166,568 1,083,284 541,642 270,821 812,464 406,232 203,116 101,558 50,779 152,338 76,169 228,508 114,254 57,127 171,382 85,691 257,074 128,537 385,612 192,806 96,403 289,210 144,605 433,816 216,908 108,454 54,227 162,682 81,341 244,024 122,012 61,006 30,503 91,510 45,755

More profiles

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