λ
Harmonic Matrix

4,296,402

2 × 34 × 11 × 2411
Abundant Even Composite

4,296,402 has digital root 9. The neighboring primes are 4296401 and 4296419; its proper-divisor sum differs from the starting integer by 1,913,868.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 2411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,506,672
Proper Divisor Sum 6,210,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4296401 ← → #4296419

Radix Representation

Decimal 4296402
Binary 10000011000111011010010 (23 bits)
Octal 0o20307322
Hexadecimal 0x418ED2

Divisor Catalog (40)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1,782 2,411 4,822 7,233 14,466 21,699 26,521 43,398 53,042 65,097 79,563 130,194 159,126 195,291 238,689 390,582 477,378 716,067 1,432,134 2,148,201 4,296,402

Collatz Trajectory (211 steps to reach 1)

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

4,296,402 2,148,201 6,444,604 3,222,302 1,611,151 4,833,454 2,416,727 7,250,182 3,625,091 10,875,274 5,437,637 16,312,912 8,156,456 4,078,228 2,039,114 1,019,557 3,058,672 1,529,336 764,668 382,334 191,167 573,502 286,751 860,254 430,127 1,290,382 645,191 1,935,574 967,787 2,903,362 1,451,681 4,355,044 2,177,522 1,088,761 3,266,284 1,633,142 816,571 2,449,714 1,224,857 3,674,572 1,837,286 918,643 2,755,930 1,377,965 4,133,896 2,066,948 1,033,474 516,737 1,550,212 775,106 387,553 1,162,660 581,330 290,665 871,996 435,998 217,999 653,998 326,999 980,998

More profiles

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