λ
Prime Ledger

4,076,556

22 × 3 × 11 × 89 × 347
Abundant Even Composite

4,076,556 has the prime decomposition 2^2 × 3 × 11 × 89 × 347. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 89 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,523,520
Proper Divisor Sum 6,446,964
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4076537 ← → #4076557

Radix Representation

Decimal 4076556
Binary 1111100011010000001100 (22 bits)
Octal 0o17432014
Hexadecimal 0x3E340C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 347 356 534 694 979 1,041 1,068 1,388 1,958 2,082 2,937 3,817 3,916 4,164 5,874 7,634 11,451 11,748 15,268 22,902 30,883 45,804 61,766 92,649 123,532 185,298 339,713 370,596 679,426 1,019,139 1,358,852 2,038,278 4,076,556

Collatz Trajectory (198 steps to reach 1)

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

4,076,556 2,038,278 1,019,139 3,057,418 1,528,709 4,586,128 2,293,064 1,146,532 573,266 286,633 859,900 429,950 214,975 644,926 322,463 967,390 483,695 1,451,086 725,543 2,176,630 1,088,315 3,264,946 1,632,473 4,897,420 2,448,710 1,224,355 3,673,066 1,836,533 5,509,600 2,754,800 1,377,400 688,700 344,350 172,175 516,526 258,263 774,790 387,395 1,162,186 581,093 1,743,280 871,640 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135

More profiles

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