λ
Sigma Notebook

3,740,796

22 × 33 × 19 × 1823
Abundant Even Composite

3,740,796 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 19 × 1823 and its 48 divisors sum to 10,214,400.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,214,400
Proper Divisor Sum 6,473,604
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3740783 ← → #3740809

Radix Representation

Decimal 3740796
Binary 1110010001010001111100 (22 bits)
Octal 0o16212174
Hexadecimal 0x39147C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 1,823 2,052 3,646 5,469 7,292 10,938 16,407 21,876 32,814 34,637 49,221 65,628 69,274 98,442 103,911 138,548 196,884 207,822 311,733 415,644 623,466 935,199 1,246,932 1,870,398 3,740,796

Collatz Trajectory (97 steps to reach 1)

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

3,740,796 1,870,398 935,199 2,805,598 1,402,799 4,208,398 2,104,199 6,312,598 3,156,299 9,468,898 4,734,449 14,203,348 7,101,674 3,550,837 10,652,512 5,326,256 2,663,128 1,331,564 665,782 332,891 998,674 499,337 1,498,012 749,006 374,503 1,123,510 561,755 1,685,266 842,633 2,527,900 1,263,950 631,975 1,895,926 947,963 2,843,890 1,421,945 4,265,836 2,132,918 1,066,459 3,199,378 1,599,689 4,799,068 2,399,534 1,199,767 3,599,302 1,799,651 5,398,954 2,699,477 8,098,432 4,049,216 2,024,608 1,012,304 506,152 253,076 126,538 63,269 189,808 94,904 47,452 23,726

More profiles

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