λ
Prime Ledger

3,774,480

24 × 3 × 5 × 15727
Abundant Even Composite

3,774,480 has the prime decomposition 2^4 × 3 × 5 × 15727. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 15727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,701,632
Proper Divisor Sum 7,927,152
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3774479 ← → #3774499

Radix Representation

Decimal 3774480
Binary 1110011001100000010000 (22 bits)
Octal 0o16314020
Hexadecimal 0x399810

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15,727 31,454 47,181 62,908 78,635 94,362 125,816 157,270 188,724 235,905 251,632 314,540 377,448 471,810 629,080 754,896 943,620 1,258,160 1,887,240 3,774,480

Collatz Trajectory (141 steps to reach 1)

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

3,774,480 1,887,240 943,620 471,810 235,905 707,716 353,858 176,929 530,788 265,394 132,697 398,092 199,046 99,523 298,570 149,285 447,856 223,928 111,964 55,982 27,991 83,974 41,987 125,962 62,981 188,944 94,472 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995

More profiles

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