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Atlas › Integer Profiles › Node 2,888,514

2,888,514

2 × 33 × 149 × 359
Abundant Even Composite

2,888,514 factors as 2 × 3^3 × 149 × 359. Its 32 positive divisors give a proper-divisor sum of 3,591,486, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 149 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,480,000
Proper Divisor Sum 3,591,486
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2888507 ← → #2888527

Radix Representation

Decimal 2888514
Binary 1011000001001101000010 (22 bits)
Octal 0o13011502
Hexadecimal 0x2C1342

Divisor Catalog (32)

1 2 3 6 9 18 27 54 149 298 359 447 718 894 1,077 1,341 2,154 2,682 3,231 4,023 6,462 8,046 9,693 19,386 53,491 106,982 160,473 320,946 481,419 962,838 1,444,257 2,888,514

Collatz Trajectory (120 steps to reach 1)

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

2,888,514 1,444,257 4,332,772 2,166,386 1,083,193 3,249,580 1,624,790 812,395 2,437,186 1,218,593 3,655,780 1,827,890 913,945 2,741,836 1,370,918 685,459 2,056,378 1,028,189 3,084,568 1,542,284 771,142 385,571 1,156,714 578,357 1,735,072 867,536 433,768 216,884 108,442 54,221 162,664 81,332 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058

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