λ
Prime Ledger

4,442,390

2 × 5 × 19 × 103 × 227
Deficient Even Composite

4,442,390 has the prime decomposition 2 × 5 × 19 × 103 × 227. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 103 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,536,320
Proper Divisor Sum 4,093,930
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4442387 ← → #4442401

Radix Representation

Decimal 4442390
Binary 10000111100100100010110 (23 bits)
Octal 0o20744426
Hexadecimal 0x43C916

Divisor Catalog (32)

1 2 5 10 19 38 95 103 190 206 227 454 515 1,030 1,135 1,957 2,270 3,914 4,313 8,626 9,785 19,570 21,565 23,381 43,130 46,762 116,905 233,810 444,239 888,478 2,221,195 4,442,390

Collatz Trajectory (180 steps to reach 1)

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

4,442,390 2,221,195 6,663,586 3,331,793 9,995,380 4,997,690 2,498,845 7,496,536 3,748,268 1,874,134 937,067 2,811,202 1,405,601 4,216,804 2,108,402 1,054,201 3,162,604 1,581,302 790,651 2,371,954 1,185,977 3,557,932 1,778,966 889,483 2,668,450 1,334,225 4,002,676 2,001,338 1,000,669 3,002,008 1,501,004 750,502 375,251 1,125,754 562,877 1,688,632 844,316 422,158 211,079 633,238 316,619 949,858 474,929 1,424,788 712,394 356,197 1,068,592 534,296 267,148 133,574 66,787 200,362 100,181 300,544 150,272 75,136 37,568 18,784 9,392 4,696

More profiles

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