λ
Integer Codex

3,412,026

2 × 32 × 131 × 1447
Abundant Even Composite

For 3,412,026, the 24 positive divisors have a total of 7,454,304. Removing 3,412,026 leaves 4,042,278, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,454,304
Proper Divisor Sum 4,042,278
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3412021 ← → #3412049

Radix Representation

Decimal 3412026
Binary 1101000001000000111010 (22 bits)
Octal 0o15010072
Hexadecimal 0x34103A

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 786 1,179 1,447 2,358 2,894 4,341 8,682 13,023 26,046 189,557 379,114 568,671 1,137,342 1,706,013 3,412,026

Collatz Trajectory (102 steps to reach 1)

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

3,412,026 1,706,013 5,118,040 2,559,020 1,279,510 639,755 1,919,266 959,633 2,878,900 1,439,450 719,725 2,159,176 1,079,588 539,794 269,897 809,692 404,846 202,423 607,270 303,635 910,906 455,453 1,366,360 683,180 341,590 170,795 512,386 256,193 768,580 384,290 192,145 576,436 288,218 144,109 432,328 216,164 108,082 54,041 162,124 81,062 40,531 121,594 60,797 182,392 91,196 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607

More profiles

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