λ
Prime Ledger

3,756,784

24 × 234799
Deficient Even Composite

3,756,784 has the prime decomposition 2^4 × 234799. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 234799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 7,278,800
Proper Divisor Sum 3,522,016
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3756773 ← → #3756791

Radix Representation

Decimal 3756784
Binary 1110010101001011110000 (22 bits)
Octal 0o16251360
Hexadecimal 0x3952F0

Divisor Catalog (10)

1 2 4 8 16 234,799 469,598 939,196 1,878,392 3,756,784

Collatz Trajectory (159 steps to reach 1)

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

3,756,784 1,878,392 939,196 469,598 234,799 704,398 352,199 1,056,598 528,299 1,584,898 792,449 2,377,348 1,188,674 594,337 1,783,012 891,506 445,753 1,337,260 668,630 334,315 1,002,946 501,473 1,504,420 752,210 376,105 1,128,316 564,158 282,079 846,238 423,119 1,269,358 634,679 1,904,038 952,019 2,856,058 1,428,029 4,284,088 2,142,044 1,071,022 535,511 1,606,534 803,267 2,409,802 1,204,901 3,614,704 1,807,352 903,676 451,838 225,919 677,758 338,879 1,016,638 508,319 1,524,958 762,479 2,287,438 1,143,719 3,431,158 1,715,579 5,146,738

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