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Atlas › Integer Profiles › Node 2,971,128

2,971,128

23 × 3 × 43 × 2879
Abundant Even Composite

2,971,128 factors as 2^3 × 3 × 43 × 2879. Its 32 positive divisors give a proper-divisor sum of 4,632,072, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,603,200
Proper Divisor Sum 4,632,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2971123 ← → #2971139

Radix Representation

Decimal 2971128
Binary 1011010101010111111000 (22 bits)
Octal 0o13252770
Hexadecimal 0x2D55F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1,032 2,879 5,758 8,637 11,516 17,274 23,032 34,548 69,096 123,797 247,594 371,391 495,188 742,782 990,376 1,485,564 2,971,128

Collatz Trajectory (120 steps to reach 1)

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

2,971,128 1,485,564 742,782 371,391 1,114,174 557,087 1,671,262 835,631 2,506,894 1,253,447 3,760,342 1,880,171 5,640,514 2,820,257 8,460,772 4,230,386 2,115,193 6,345,580 3,172,790 1,586,395 4,759,186 2,379,593 7,138,780 3,569,390 1,784,695 5,354,086 2,677,043 8,031,130 4,015,565 12,046,696 6,023,348 3,011,674 1,505,837 4,517,512 2,258,756 1,129,378 564,689 1,694,068 847,034 423,517 1,270,552 635,276 317,638 158,819 476,458 238,229 714,688 357,344 178,672 89,336 44,668 22,334 11,167 33,502 16,751 50,254 25,127 75,382 37,691 113,074

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