λ
Sigma Notebook

4,301,596

22 × 13 × 82723
Deficient Even Composite

4,301,596 is even and not a perfect square. Its factorization is 2^2 × 13 × 82723 and its 12 divisors sum to 8,106,952.

Prime Factor Structure

Factorization String 2^2 × 13 × 82723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,106,952
Proper Divisor Sum 3,805,356
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4301593 ← → #4301603

Radix Representation

Decimal 4301596
Binary 10000011010001100011100 (23 bits)
Octal 0o20321434
Hexadecimal 0x41A31C

Divisor Catalog (12)

1 2 4 13 26 52 82,723 165,446 330,892 1,075,399 2,150,798 4,301,596

Collatz Trajectory (123 steps to reach 1)

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

4,301,596 2,150,798 1,075,399 3,226,198 1,613,099 4,839,298 2,419,649 7,258,948 3,629,474 1,814,737 5,444,212 2,722,106 1,361,053 4,083,160 2,041,580 1,020,790 510,395 1,531,186 765,593 2,296,780 1,148,390 574,195 1,722,586 861,293 2,583,880 1,291,940 645,970 322,985 968,956 484,478 242,239 726,718 363,359 1,090,078 545,039 1,635,118 817,559 2,452,678 1,226,339 3,679,018 1,839,509 5,518,528 2,759,264 1,379,632 689,816 344,908 172,454 86,227 258,682 129,341 388,024 194,012 97,006 48,503 145,510 72,755 218,266 109,133 327,400 163,700

More profiles

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