λ
Sigma Notebook

8,327,294

2 × 37 × 43 × 2617
Deficient Even Composite

8,327,294 is even and not a perfect square. Its factorization is 2 × 37 × 43 × 2617 and its 16 divisors sum to 13,131,888.

Prime Factor Structure

Factorization String 2 × 37 × 43 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,131,888
Proper Divisor Sum 4,804,594
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8327287 ← → #8327299

Radix Representation

Decimal 8327294
Binary 11111110001000001111110 (23 bits)
Octal 0o37610176
Hexadecimal 0x7F107E

Divisor Catalog (16)

1 2 37 43 74 86 1,591 2,617 3,182 5,234 96,829 112,531 193,658 225,062 4,163,647 8,327,294

Collatz Trajectory (199 steps to reach 1)

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

8,327,294 4,163,647 12,490,942 6,245,471 18,736,414 9,368,207 28,104,622 14,052,311 42,156,934 21,078,467 63,235,402 31,617,701 94,853,104 47,426,552 23,713,276 11,856,638 5,928,319 17,784,958 8,892,479 26,677,438 13,338,719 40,016,158 20,008,079 60,024,238 30,012,119 90,036,358 45,018,179 135,054,538 67,527,269 202,581,808 101,290,904 50,645,452 25,322,726 12,661,363 37,984,090 18,992,045 56,976,136 28,488,068 14,244,034 7,122,017 21,366,052 10,683,026 5,341,513 16,024,540 8,012,270 4,006,135 12,018,406 6,009,203 18,027,610 9,013,805 27,041,416 13,520,708 6,760,354 3,380,177 10,140,532 5,070,266 2,535,133 7,605,400 3,802,700 1,901,350

More profiles

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