λ
Zalai Atlas

3,442,174

2 × 1013 × 1699
Deficient Even Composite

3,442,174 has the prime decomposition 2 × 1013 × 1699. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1013 × 1699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,171,400
Proper Divisor Sum 1,729,226
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3442171 ← → #3442183

Radix Representation

Decimal 3442174
Binary 1101001000010111111110 (22 bits)
Octal 0o15102776
Hexadecimal 0x3485FE

Divisor Catalog (8)

1 2 1,013 1,699 2,026 3,398 1,721,087 3,442,174

Collatz Trajectory (190 steps to reach 1)

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

3,442,174 1,721,087 5,163,262 2,581,631 7,744,894 3,872,447 11,617,342 5,808,671 17,426,014 8,713,007 26,139,022 13,069,511 39,208,534 19,604,267 58,812,802 29,406,401 88,219,204 44,109,602 22,054,801 66,164,404 33,082,202 16,541,101 49,623,304 24,811,652 12,405,826 6,202,913 18,608,740 9,304,370 4,652,185 13,956,556 6,978,278 3,489,139 10,467,418 5,233,709 15,701,128 7,850,564 3,925,282 1,962,641 5,887,924 2,943,962 1,471,981 4,415,944 2,207,972 1,103,986 551,993 1,655,980 827,990 413,995 1,241,986 620,993 1,862,980 931,490 465,745 1,397,236 698,618 349,309 1,047,928 523,964 261,982 130,991

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