λ
Sigma Notebook

4,531,888

24 × 29 × 9767
Abundant Even Composite

4,531,888 is even and not a perfect square. Its factorization is 2^4 × 29 × 9767 and its 20 divisors sum to 9,084,240.

Prime Factor Structure

Factorization String 2^4 × 29 × 9767
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,084,240
Proper Divisor Sum 4,552,352
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4531867 ← → #4531903

Radix Representation

Decimal 4531888
Binary 10001010010011010110000 (23 bits)
Octal 0o21223260
Hexadecimal 0x4526B0

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 9,767 19,534 39,068 78,136 156,272 283,243 566,486 1,132,972 2,265,944 4,531,888

Collatz Trajectory (180 steps to reach 1)

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

4,531,888 2,265,944 1,132,972 566,486 283,243 849,730 424,865 1,274,596 637,298 318,649 955,948 477,974 238,987 716,962 358,481 1,075,444 537,722 268,861 806,584 403,292 201,646 100,823 302,470 151,235 453,706 226,853 680,560 340,280 170,140 85,070 42,535 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792

More profiles

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