λ
Prime Ledger

3,704,961

3 × 13 × 94999
Deficient Odd Composite

3,704,961 has the prime decomposition 3 × 13 × 94999. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 94999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,320,000
Proper Divisor Sum 1,615,039
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3704959 ← → #3705017

Radix Representation

Decimal 3704961
Binary 1110001000100010000001 (22 bits)
Octal 0o16104201
Hexadecimal 0x388881

Divisor Catalog (8)

1 3 13 39 94,999 284,997 1,234,987 3,704,961

Collatz Trajectory (115 steps to reach 1)

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

3,704,961 11,114,884 5,557,442 2,778,721 8,336,164 4,168,082 2,084,041 6,252,124 3,126,062 1,563,031 4,689,094 2,344,547 7,033,642 3,516,821 10,550,464 5,275,232 2,637,616 1,318,808 659,404 329,702 164,851 494,554 247,277 741,832 370,916 185,458 92,729 278,188 139,094 69,547 208,642 104,321 312,964 156,482 78,241 234,724 117,362 58,681 176,044 88,022 44,011 132,034 66,017 198,052 99,026 49,513 148,540 74,270 37,135 111,406 55,703 167,110 83,555 250,666 125,333 376,000 188,000 94,000 47,000 23,500

More profiles

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