λ
Sigma Notebook

4,877,752

23 × 112 × 5039
Abundant Even Composite

4,877,752 is even and not a perfect square. Its factorization is 2^3 × 11^2 × 5039 and its 24 divisors sum to 10,054,800.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 5039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,054,800
Proper Divisor Sum 5,177,048
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4877731 ← → #4877773

Radix Representation

Decimal 4877752
Binary 10010100110110110111000 (23 bits)
Octal 0o22466670
Hexadecimal 0x4A6DB8

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 5,039 10,078 20,156 40,312 55,429 110,858 221,716 443,432 609,719 1,219,438 2,438,876 4,877,752

Collatz Trajectory (100 steps to reach 1)

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

4,877,752 2,438,876 1,219,438 609,719 1,829,158 914,579 2,743,738 1,371,869 4,115,608 2,057,804 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862

More profiles

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