4,097,427

3 × 23 × 43 × 1381

4,097,427 has the prime decomposition 3 × 23 × 43 × 1381. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 43 × 1381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,837,568

Proper Divisor Sum 1,740,141

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4097393 ← → #4097441

Radix Representation

Decimal	4097427
Binary	1111101000010110010011 (22 bits)
Octal	0o17502623
Hexadecimal	0x3E8593

Divisor Catalog (16)

1 3 23 43 69 129 989 1,381 2,967 4,143 31,763 59,383 95,289 178,149 1,365,809 4,097,427

Collatz Trajectory (92 steps to reach 1)

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

4,097,427 12,292,282 6,146,141 18,438,424 9,219,212 4,609,606 2,304,803 6,914,410 3,457,205 10,371,616 5,185,808 2,592,904 1,296,452 648,226 324,113 972,340 486,170 243,085 729,256 364,628 182,314 91,157 273,472 136,736 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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