λ
Sigma Notebook

7,696,337

11 × 457 × 1531
Deficient Odd Composite

7,696,337 is odd and not a perfect square. Its factorization is 11 × 457 × 1531 and its 8 divisors sum to 8,419,872.

Prime Factor Structure

Factorization String 11 × 457 × 1531
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,419,872
Proper Divisor Sum 723,535
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7696321 ← → #7696343

Radix Representation

Decimal 7696337
Binary 11101010110111111010001 (23 bits)
Octal 0o35267721
Hexadecimal 0x756FD1

Divisor Catalog (8)

1 11 457 1,531 5,027 16,841 699,667 7,696,337

Collatz Trajectory (217 steps to reach 1)

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

7,696,337 23,089,012 11,544,506 5,772,253 17,316,760 8,658,380 4,329,190 2,164,595 6,493,786 3,246,893 9,740,680 4,870,340 2,435,170 1,217,585 3,652,756 1,826,378 913,189 2,739,568 1,369,784 684,892 342,446 171,223 513,670 256,835 770,506 385,253 1,155,760 577,880 288,940 144,470 72,235 216,706 108,353 325,060 162,530 81,265 243,796 121,898 60,949 182,848 91,424 45,712 22,856 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140

More profiles

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