λ
Prime Ledger

4,065,513

3 × 59 × 103 × 223
Deficient Odd Composite

4,065,513 has the prime decomposition 3 × 59 × 103 × 223. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 103 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,591,040
Proper Divisor Sum 1,525,527
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4065491 ← → #4065517

Radix Representation

Decimal 4065513
Binary 1111100000100011101001 (22 bits)
Octal 0o17404351
Hexadecimal 0x3E08E9

Divisor Catalog (16)

1 3 59 103 177 223 309 669 6,077 13,157 18,231 22,969 39,471 68,907 1,355,171 4,065,513

Collatz Trajectory (110 steps to reach 1)

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

4,065,513 12,196,540 6,098,270 3,049,135 9,147,406 4,573,703 13,721,110 6,860,555 20,581,666 10,290,833 30,872,500 15,436,250 7,718,125 23,154,376 11,577,188 5,788,594 2,894,297 8,682,892 4,341,446 2,170,723 6,512,170 3,256,085 9,768,256 4,884,128 2,442,064 1,221,032 610,516 305,258 152,629 457,888 228,944 114,472 57,236 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718

More profiles

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