5,946,792

2³ × 3 × 31 × 7993

5,946,792 has the prime decomposition 2^3 × 3 × 31 × 7993. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 7993

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,348,480

Proper Divisor Sum 9,401,688

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5946767 ← → #5946793

Radix Representation

Decimal	5946792
Binary	10110101011110110101000 (23 bits)
Octal	0o26536650
Hexadecimal	0x5ABDA8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 7,993 15,986 23,979 31,972 47,958 63,944 95,916 191,832 247,783 495,566 743,349 991,132 1,486,698 1,982,264 2,973,396 5,946,792

Collatz Trajectory (183 steps to reach 1)

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

5,946,792 2,973,396 1,486,698 743,349 2,230,048 1,115,024 557,512 278,756 139,378 69,689 209,068 104,534 52,267 156,802 78,401 235,204 117,602 58,801 176,404 88,202 44,101 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

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