λ
Integer Codex

2,997,488

24 × 13 × 14411
Abundant Even Composite

For 2,997,488, the 20 positive divisors have a total of 6,254,808. Removing 2,997,488 leaves 3,257,320, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 13 × 14411
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,254,808
Proper Divisor Sum 3,257,320
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #2997473 ← → #2997499

Radix Representation

Decimal 2997488
Binary 1011011011110011110000 (22 bits)
Octal 0o13336360
Hexadecimal 0x2DBCF0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 14,411 28,822 57,644 115,288 187,343 230,576 374,686 749,372 1,498,744 2,997,488

Collatz Trajectory (182 steps to reach 1)

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

2,997,488 1,498,744 749,372 374,686 187,343 562,030 281,015 843,046 421,523 1,264,570 632,285 1,896,856 948,428 474,214 237,107 711,322 355,661 1,066,984 533,492 266,746 133,373 400,120 200,060 100,030 50,015 150,046 75,023 225,070 112,535 337,606 168,803 506,410 253,205 759,616 379,808 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530

More profiles

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