λ
Prime Ledger

4,482,422

2 × 72 × 53 × 863
Deficient Even Composite

4,482,422 has the prime decomposition 2 × 7^2 × 53 × 863. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 53 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,978,176
Proper Divisor Sum 3,495,754
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4482409 ← → #4482431

Radix Representation

Decimal 4482422
Binary 10001000110010101110110 (23 bits)
Octal 0o21062566
Hexadecimal 0x446576

Divisor Catalog (24)

1 2 7 14 49 53 98 106 371 742 863 1,726 2,597 5,194 6,041 12,082 42,287 45,739 84,574 91,478 320,173 640,346 2,241,211 4,482,422

Collatz Trajectory (255 steps to reach 1)

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

4,482,422 2,241,211 6,723,634 3,361,817 10,085,452 5,042,726 2,521,363 7,564,090 3,782,045 11,346,136 5,673,068 2,836,534 1,418,267 4,254,802 2,127,401 6,382,204 3,191,102 1,595,551 4,786,654 2,393,327 7,179,982 3,589,991 10,769,974 5,384,987 16,154,962 8,077,481 24,232,444 12,116,222 6,058,111 18,174,334 9,087,167 27,261,502 13,630,751 40,892,254 20,446,127 61,338,382 30,669,191 92,007,574 46,003,787 138,011,362 69,005,681 207,017,044 103,508,522 51,754,261 155,262,784 77,631,392 38,815,696 19,407,848 9,703,924 4,851,962 2,425,981 7,277,944 3,638,972 1,819,486 909,743 2,729,230 1,364,615 4,093,846 2,046,923 6,140,770

More profiles

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