λ
Sigma Notebook

2,688,039

33 × 29 × 3433
Deficient Odd Composite

2,688,039 is odd and not a perfect square. Its factorization is 3^3 × 29 × 3433 and its 16 divisors sum to 4,120,800.

Prime Factor Structure

Factorization String 3^3 × 29 × 3433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,120,800
Proper Divisor Sum 1,432,761
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2688019 ← → #2688053

Radix Representation

Decimal 2688039
Binary 1010010000010000100111 (22 bits)
Octal 0o12202047
Hexadecimal 0x290427

Divisor Catalog (16)

1 3 9 27 29 87 261 783 3,433 10,299 30,897 92,691 99,557 298,671 896,013 2,688,039

Collatz Trajectory (262 steps to reach 1)

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

2,688,039 8,064,118 4,032,059 12,096,178 6,048,089 18,144,268 9,072,134 4,536,067 13,608,202 6,804,101 20,412,304 10,206,152 5,103,076 2,551,538 1,275,769 3,827,308 1,913,654 956,827 2,870,482 1,435,241 4,305,724 2,152,862 1,076,431 3,229,294 1,614,647 4,843,942 2,421,971 7,265,914 3,632,957 10,898,872 5,449,436 2,724,718 1,362,359 4,087,078 2,043,539 6,130,618 3,065,309 9,195,928 4,597,964 2,298,982 1,149,491 3,448,474 1,724,237 5,172,712 2,586,356 1,293,178 646,589 1,939,768 969,884 484,942 242,471 727,414 363,707 1,091,122 545,561 1,636,684 818,342 409,171 1,227,514 613,757

More profiles

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