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Atlas › Integer Profiles › Node 2,056,444

2,056,444

22 × 13 × 71 × 557
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 71 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,937,248
Proper Divisor Sum 1,880,804
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2056441 ← → #2056459

Radix Representation

Decimal 2056444
Binary 111110110000011111100 (21 bits)
Octal 0o7660374
Hexadecimal 0x1F60FC

Divisor Catalog (24)

1 2 4 13 26 52 71 142 284 557 923 1,114 1,846 2,228 3,692 7,241 14,482 28,964 39,547 79,094 158,188 514,111 1,028,222 2,056,444

Collatz Trajectory (259 steps to reach 1)

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

2,056,444 1,028,222 514,111 1,542,334 771,167 2,313,502 1,156,751 3,470,254 1,735,127 5,205,382 2,602,691 7,808,074 3,904,037 11,712,112 5,856,056 2,928,028 1,464,014 732,007 2,196,022 1,098,011 3,294,034 1,647,017 4,941,052 2,470,526 1,235,263 3,705,790 1,852,895 5,558,686 2,779,343 8,338,030 4,169,015 12,507,046 6,253,523 18,760,570 9,380,285 28,140,856 14,070,428 7,035,214 3,517,607 10,552,822 5,276,411 15,829,234 7,914,617 23,743,852 11,871,926 5,935,963 17,807,890 8,903,945 26,711,836 13,355,918 6,677,959 20,033,878 10,016,939 30,050,818 15,025,409 45,076,228 22,538,114 11,269,057 33,807,172 16,903,586

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