λ
Integer Codex

6,988,698

2 × 32 × 157 × 2473
Abundant Even Composite

For 6,988,698, the 24 positive divisors have a total of 15,244,788. Removing 6,988,698 leaves 8,256,090, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 157 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,244,788
Proper Divisor Sum 8,256,090
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #6988691 ← → #6988763

Radix Representation

Decimal 6988698
Binary 11010101010001110011010 (23 bits)
Octal 0o32521632
Hexadecimal 0x6AA39A

Divisor Catalog (24)

1 2 3 6 9 18 157 314 471 942 1,413 2,473 2,826 4,946 7,419 14,838 22,257 44,514 388,261 776,522 1,164,783 2,329,566 3,494,349 6,988,698

Collatz Trajectory (147 steps to reach 1)

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

6,988,698 3,494,349 10,483,048 5,241,524 2,620,762 1,310,381 3,931,144 1,965,572 982,786 491,393 1,474,180 737,090 368,545 1,105,636 552,818 276,409 829,228 414,614 207,307 621,922 310,961 932,884 466,442 233,221 699,664 349,832 174,916 87,458 43,729 131,188 65,594 32,797 98,392 49,196 24,598 12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206

More profiles

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