λ
Sigma Notebook

7,888,604

22 × 89 × 22159
Deficient Even Composite

7,888,604 is even and not a perfect square. Its factorization is 2^2 × 89 × 22159 and its 12 divisors sum to 13,960,800.

Prime Factor Structure

Factorization String 2^2 × 89 × 22159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,960,800
Proper Divisor Sum 6,072,196
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7888589 ← → #7888607

Radix Representation

Decimal 7888604
Binary 11110000101111011011100 (23 bits)
Octal 0o36057334
Hexadecimal 0x785EDC

Divisor Catalog (12)

1 2 4 89 178 356 22,159 44,318 88,636 1,972,151 3,944,302 7,888,604

Collatz Trajectory (217 steps to reach 1)

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

7,888,604 3,944,302 1,972,151 5,916,454 2,958,227 8,874,682 4,437,341 13,312,024 6,656,012 3,328,006 1,664,003 4,992,010 2,496,005 7,488,016 3,744,008 1,872,004 936,002 468,001 1,404,004 702,002 351,001 1,053,004 526,502 263,251 789,754 394,877 1,184,632 592,316 296,158 148,079 444,238 222,119 666,358 333,179 999,538 499,769 1,499,308 749,654 374,827 1,124,482 562,241 1,686,724 843,362 421,681 1,265,044 632,522 316,261 948,784 474,392 237,196 118,598 59,299 177,898 88,949 266,848 133,424 66,712 33,356 16,678 8,339

More profiles

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