λ
Prime Ledger

3,723,796

22 × 601 × 1549
Deficient Even Composite

3,723,796 has the prime decomposition 2^2 × 601 × 1549. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 601 × 1549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,531,700
Proper Divisor Sum 2,807,904
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3723787 ← → #3723809

Radix Representation

Decimal 3723796
Binary 1110001101001000010100 (22 bits)
Octal 0o16151024
Hexadecimal 0x38D214

Divisor Catalog (12)

1 2 4 601 1,202 1,549 2,404 3,098 6,196 930,949 1,861,898 3,723,796

Collatz Trajectory (66 steps to reach 1)

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

3,723,796 1,861,898 930,949 2,792,848 1,396,424 698,212 349,106 174,553 523,660 261,830 130,915 392,746 196,373 589,120 294,560 147,280 73,640 36,820 18,410 9,205 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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