λ
Sigma Notebook

4,188,044

22 × 7 × 373 × 401
Abundant Even Composite

4,188,044 is even and not a perfect square. Its factorization is 2^2 × 7 × 373 × 401 and its 24 divisors sum to 8,419,488.

Prime Factor Structure

Factorization String 2^2 × 7 × 373 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,419,488
Proper Divisor Sum 4,231,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4188043 ← → #4188053

Radix Representation

Decimal 4188044
Binary 1111111110011110001100 (22 bits)
Octal 0o17763614
Hexadecimal 0x3FE78C

Divisor Catalog (24)

1 2 4 7 14 28 373 401 746 802 1,492 1,604 2,611 2,807 5,222 5,614 10,444 11,228 149,573 299,146 598,292 1,047,011 2,094,022 4,188,044

Collatz Trajectory (167 steps to reach 1)

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

4,188,044 2,094,022 1,047,011 3,141,034 1,570,517 4,711,552 2,355,776 1,177,888 588,944 294,472 147,236 73,618 36,809 110,428 55,214 27,607 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124

More profiles

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