λ
Prime Ledger

3,648,206

2 × 43 × 59 × 719
Deficient Even Composite

3,648,206 has the prime decomposition 2 × 43 × 59 × 719. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 59 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,702,400
Proper Divisor Sum 2,054,194
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3648179 ← → #3648241

Radix Representation

Decimal 3648206
Binary 1101111010101011001110 (22 bits)
Octal 0o15725316
Hexadecimal 0x37AACE

Divisor Catalog (16)

1 2 43 59 86 118 719 1,438 2,537 5,074 30,917 42,421 61,834 84,842 1,824,103 3,648,206

Collatz Trajectory (340 steps to reach 1)

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

3,648,206 1,824,103 5,472,310 2,736,155 8,208,466 4,104,233 12,312,700 6,156,350 3,078,175 9,234,526 4,617,263 13,851,790 6,925,895 20,777,686 10,388,843 31,166,530 15,583,265 46,749,796 23,374,898 11,687,449 35,062,348 17,531,174 8,765,587 26,296,762 13,148,381 39,445,144 19,722,572 9,861,286 4,930,643 14,791,930 7,395,965 22,187,896 11,093,948 5,546,974 2,773,487 8,320,462 4,160,231 12,480,694 6,240,347 18,721,042 9,360,521 28,081,564 14,040,782 7,020,391 21,061,174 10,530,587 31,591,762 15,795,881 47,387,644 23,693,822 11,846,911 35,540,734 17,770,367 53,311,102 26,655,551 79,966,654 39,983,327 119,949,982 59,974,991 179,924,974

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