λ
Prime Ledger

4,223,492

22 × 7 × 13 × 41 × 283
Abundant Even Composite

4,223,492 has the prime decomposition 2^2 × 7 × 13 × 41 × 283. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 41 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,351,552
Proper Divisor Sum 5,128,060
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4223459 ← → #4223501

Radix Representation

Decimal 4223492
Binary 10000000111001000000100 (23 bits)
Octal 0o20071004
Hexadecimal 0x407204

Divisor Catalog (48)

1 2 4 7 13 14 26 28 41 52 82 91 164 182 283 287 364 533 566 574 1,066 1,132 1,148 1,981 2,132 3,679 3,731 3,962 7,358 7,462 7,924 11,603 14,716 14,924 23,206 25,753 46,412 51,506 81,221 103,012 150,839 162,442 301,678 324,884 603,356 1,055,873 2,111,746 4,223,492

Collatz Trajectory (180 steps to reach 1)

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

4,223,492 2,111,746 1,055,873 3,167,620 1,583,810 791,905 2,375,716 1,187,858 593,929 1,781,788 890,894 445,447 1,336,342 668,171 2,004,514 1,002,257 3,006,772 1,503,386 751,693 2,255,080 1,127,540 563,770 281,885 845,656 422,828 211,414 105,707 317,122 158,561 475,684 237,842 118,921 356,764 178,382 89,191 267,574 133,787 401,362 200,681 602,044 301,022 150,511 451,534 225,767 677,302 338,651 1,015,954 507,977 1,523,932 761,966 380,983 1,142,950 571,475 1,714,426 857,213 2,571,640 1,285,820 642,910 321,455 964,366

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