λ
Prime Ledger

3,746,717

13 × 288209
Deficient Odd Composite

3,746,717 has the prime decomposition 13 × 288209. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 288209
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,034,940
Proper Divisor Sum 288,223
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3746711 ← → #3746737

Radix Representation

Decimal 3746717
Binary 1110010010101110011101 (22 bits)
Octal 0o16225635
Hexadecimal 0x392B9D

Divisor Catalog (4)

1 13 288,209 3,746,717

Collatz Trajectory (159 steps to reach 1)

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

3,746,717 11,240,152 5,620,076 2,810,038 1,405,019 4,215,058 2,107,529 6,322,588 3,161,294 1,580,647 4,741,942 2,370,971 7,112,914 3,556,457 10,669,372 5,334,686 2,667,343 8,002,030 4,001,015 12,003,046 6,001,523 18,004,570 9,002,285 27,006,856 13,503,428 6,751,714 3,375,857 10,127,572 5,063,786 2,531,893 7,595,680 3,797,840 1,898,920 949,460 474,730 237,365 712,096 356,048 178,024 89,012 44,506 22,253 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962

More profiles

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