λ
Sigma Notebook

4,555,764

22 × 35 × 43 × 109
Abundant Even Composite

4,555,764 is even and not a perfect square. Its factorization is 2^2 × 3^5 × 43 × 109 and its 72 divisors sum to 12,332,320.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 43 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,332,320
Proper Divisor Sum 7,776,556
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4555753 ← → #4555783

Radix Representation

Decimal 4555764
Binary 10001011000001111110100 (23 bits)
Octal 0o21301764
Hexadecimal 0x4583F4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 109 129 162 172 218 243 258 324 327 387 436 486 516 654 774 972 981 1,161 1,308 1,548 1,962 2,322 2,943 3,483 3,924 4,644 4,687 5,886 6,966 8,829 9,374 10,449 11,772 13,932 14,061 17,658 18,748 20,898 26,487 28,122 35,316 41,796 42,183 52,974 56,244

Collatz Trajectory (193 steps to reach 1)

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

4,555,764 2,277,882 1,138,941 3,416,824 1,708,412 854,206 427,103 1,281,310 640,655 1,921,966 960,983 2,882,950 1,441,475 4,324,426 2,162,213 6,486,640 3,243,320 1,621,660 810,830 405,415 1,216,246 608,123 1,824,370 912,185 2,736,556 1,368,278 684,139 2,052,418 1,026,209 3,078,628 1,539,314 769,657 2,308,972 1,154,486 577,243 1,731,730 865,865 2,597,596 1,298,798 649,399 1,948,198 974,099 2,922,298 1,461,149 4,383,448 2,191,724 1,095,862 547,931 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215

More profiles

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