λ
Prime Ledger

3,214,976

27 × 25117
Deficient Even Composite

3,214,976 has the prime decomposition 2^7 × 25117. Its 2 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 25117
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,405,090
Proper Divisor Sum 3,190,114
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3214949 ← → #3214997

Radix Representation

Decimal 3214976
Binary 1100010000111010000000 (22 bits)
Octal 0o14207200
Hexadecimal 0x310E80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 25,117 50,234 100,468 200,936 401,872 803,744 1,607,488 3,214,976

Collatz Trajectory (115 steps to reach 1)

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

3,214,976 1,607,488 803,744 401,872 200,936 100,468 50,234 25,117 75,352 37,676 18,838 9,419 28,258 14,129 42,388 21,194 10,597 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569

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