λ
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Atlas › Integer Profiles › Node 7,021,240

7,021,240

23 × 5 × 257 × 683
Abundant Even Composite

7,021,240 factors as 2^3 × 5 × 257 × 683. Its 32 positive divisors give a proper-divisor sum of 8,861,240, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 257 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,882,480
Proper Divisor Sum 8,861,240
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7021237 ← → #7021249

Radix Representation

Decimal 7021240
Binary 11010110010001010111000 (23 bits)
Octal 0o32621270
Hexadecimal 0x6B22B8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 257 514 683 1,028 1,285 1,366 2,056 2,570 2,732 3,415 5,140 5,464 6,830 10,280 13,660 27,320 175,531 351,062 702,124 877,655 1,404,248 1,755,310 3,510,620 7,021,240

Collatz Trajectory (98 steps to reach 1)

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

7,021,240 3,510,620 1,755,310 877,655 2,632,966 1,316,483 3,949,450 1,974,725 5,924,176 2,962,088 1,481,044 740,522 370,261 1,110,784 555,392 277,696 138,848 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241

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