λ
Integer Codex

6,727,539

3 × 7 × 13 × 19 × 1297
Deficient Odd Composite

For 6,727,539, the 32 positive divisors have a total of 11,630,080. Removing 6,727,539 leaves 4,902,541, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19 × 1297
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,630,080
Proper Divisor Sum 4,902,541
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6727519 ← → #6727541

Radix Representation

Decimal 6727539
Binary 11001101010011101110011 (23 bits)
Octal 0o31523563
Hexadecimal 0x66A773

Divisor Catalog (32)

1 3 7 13 19 21 39 57 91 133 247 273 399 741 1,297 1,729 3,891 5,187 9,079 16,861 24,643 27,237 50,583 73,929 118,027 172,501 320,359 354,081 517,503 961,077 2,242,513 6,727,539

Collatz Trajectory (209 steps to reach 1)

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

6,727,539 20,182,618 10,091,309 30,273,928 15,136,964 7,568,482 3,784,241 11,352,724 5,676,362 2,838,181 8,514,544 4,257,272 2,128,636 1,064,318 532,159 1,596,478 798,239 2,394,718 1,197,359 3,592,078 1,796,039 5,388,118 2,694,059 8,082,178 4,041,089 12,123,268 6,061,634 3,030,817 9,092,452 4,546,226 2,273,113 6,819,340 3,409,670 1,704,835 5,114,506 2,557,253 7,671,760 3,835,880 1,917,940 958,970 479,485 1,438,456 719,228 359,614 179,807 539,422 269,711 809,134 404,567 1,213,702 606,851 1,820,554 910,277 2,730,832 1,365,416 682,708 341,354 170,677 512,032 256,016

More profiles

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