λ
Sigma Notebook

8,382,535

5 × 7 × 37 × 6473
Deficient Odd Composite

8,382,535 is odd and not a perfect square. Its factorization is 5 × 7 × 37 × 6473 and its 16 divisors sum to 11,808,576.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 6473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,808,576
Proper Divisor Sum 3,426,041
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8382529 ← → #8382541

Radix Representation

Decimal 8382535
Binary 11111111110100001000111 (23 bits)
Octal 0o37764107
Hexadecimal 0x7FE847

Divisor Catalog (16)

1 5 7 35 37 185 259 1,295 6,473 32,365 45,311 226,555 239,501 1,197,505 1,676,507 8,382,535

Collatz Trajectory (243 steps to reach 1)

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

8,382,535 25,147,606 12,573,803 37,721,410 18,860,705 56,582,116 28,291,058 14,145,529 42,436,588 21,218,294 10,609,147 31,827,442 15,913,721 47,741,164 23,870,582 11,935,291 35,805,874 17,902,937 53,708,812 26,854,406 13,427,203 40,281,610 20,140,805 60,422,416 30,211,208 15,105,604 7,552,802 3,776,401 11,329,204 5,664,602 2,832,301 8,496,904 4,248,452 2,124,226 1,062,113 3,186,340 1,593,170 796,585 2,389,756 1,194,878 597,439 1,792,318 896,159 2,688,478 1,344,239 4,032,718 2,016,359 6,049,078 3,024,539 9,073,618 4,536,809 13,610,428 6,805,214 3,402,607 10,207,822 5,103,911 15,311,734 7,655,867 22,967,602 11,483,801

More profiles

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