λ
Sigma Notebook

2,639,772

22 × 32 × 73327
Abundant Even Composite

2,639,772 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 73327 and its 18 divisors sum to 6,672,848.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,672,848
Proper Divisor Sum 4,033,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2639761 ← → #2639773

Radix Representation

Decimal 2639772
Binary 1010000100011110011100 (22 bits)
Octal 0o12043634
Hexadecimal 0x28479C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 73,327 146,654 219,981 293,308 439,962 659,943 879,924 1,319,886 2,639,772

Collatz Trajectory (200 steps to reach 1)

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

2,639,772 1,319,886 659,943 1,979,830 989,915 2,969,746 1,484,873 4,454,620 2,227,310 1,113,655 3,340,966 1,670,483 5,011,450 2,505,725 7,517,176 3,758,588 1,879,294 939,647 2,818,942 1,409,471 4,228,414 2,114,207 6,342,622 3,171,311 9,513,934 4,756,967 14,270,902 7,135,451 21,406,354 10,703,177 32,109,532 16,054,766 8,027,383 24,082,150 12,041,075 36,123,226 18,061,613 54,184,840 27,092,420 13,546,210 6,773,105 20,319,316 10,159,658 5,079,829 15,239,488 7,619,744 3,809,872 1,904,936 952,468 476,234 238,117 714,352 357,176 178,588 89,294 44,647 133,942 66,971 200,914 100,457

More profiles

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