λ
Prime Ledger

3,484,088

23 × 269 × 1619
Deficient Even Composite

3,484,088 has the prime decomposition 2^3 × 269 × 1619. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 269 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,561,000
Proper Divisor Sum 3,076,912
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3484081 ← → #3484093

Radix Representation

Decimal 3484088
Binary 1101010010100110111000 (22 bits)
Octal 0o15224670
Hexadecimal 0x3529B8

Divisor Catalog (16)

1 2 4 8 269 538 1,076 1,619 2,152 3,238 6,476 12,952 435,511 871,022 1,742,044 3,484,088

Collatz Trajectory (177 steps to reach 1)

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

3,484,088 1,742,044 871,022 435,511 1,306,534 653,267 1,959,802 979,901 2,939,704 1,469,852 734,926 367,463 1,102,390 551,195 1,653,586 826,793 2,480,380 1,240,190 620,095 1,860,286 930,143 2,790,430 1,395,215 4,185,646 2,092,823 6,278,470 3,139,235 9,417,706 4,708,853 14,126,560 7,063,280 3,531,640 1,765,820 882,910 441,455 1,324,366 662,183 1,986,550 993,275 2,979,826 1,489,913 4,469,740 2,234,870 1,117,435 3,352,306 1,676,153 5,028,460 2,514,230 1,257,115 3,771,346 1,885,673 5,657,020 2,828,510 1,414,255 4,242,766 2,121,383 6,364,150 3,182,075 9,546,226 4,773,113

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