λ
Sequence Observatory

5,529,020

22 × 5 × 7 × 73 × 541
Abundant Even Composite

Starting at 5,529,020, the Collatz iteration reaches 1 after 276 steps. The first transition is 2764510; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 73 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,476,288
Proper Divisor Sum 7,947,268
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5529001 ← → #5529023

Radix Representation

Decimal 5529020
Binary 10101000101110110111100 (23 bits)
Octal 0o25056674
Hexadecimal 0x545DBC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 541 730 1,022 1,082 1,460 2,044 2,164 2,555 2,705 3,787 5,110 5,410 7,574 10,220 10,820 15,148 18,935 37,870 39,493 75,740 78,986 157,972 197,465 276,451 394,930 552,902 789,860 1,105,804 1,382,255 2,764,510 5,529,020

Collatz Trajectory (276 steps to reach 1)

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

5,529,020 2,764,510 1,382,255 4,146,766 2,073,383 6,220,150 3,110,075 9,330,226 4,665,113 13,995,340 6,997,670 3,498,835 10,496,506 5,248,253 15,744,760 7,872,380 3,936,190 1,968,095 5,904,286 2,952,143 8,856,430 4,428,215 13,284,646 6,642,323 19,926,970 9,963,485 29,890,456 14,945,228 7,472,614 3,736,307 11,208,922 5,604,461 16,813,384 8,406,692 4,203,346 2,101,673 6,305,020 3,152,510 1,576,255 4,728,766 2,364,383 7,093,150 3,546,575 10,639,726 5,319,863 15,959,590 7,979,795 23,939,386 11,969,693 35,909,080 17,954,540 8,977,270 4,488,635 13,465,906 6,732,953 20,198,860 10,099,430 5,049,715 15,149,146 7,574,573

More profiles

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