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Atlas › Integer Profiles › Node 7,945,360

7,945,360

24 × 5 × 99317
Abundant Even Composite

7,945,360 factors as 2^4 × 5 × 99317. Its 20 positive divisors give a proper-divisor sum of 10,527,788, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 99317
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,473,148
Proper Divisor Sum 10,527,788
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7945321 ← → #7945361

Radix Representation

Decimal 7945360
Binary 11110010011110010010000 (23 bits)
Octal 0o36236220
Hexadecimal 0x793C90

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 99,317 198,634 397,268 496,585 794,536 993,170 1,589,072 1,986,340 3,972,680 7,945,360

Collatz Trajectory (124 steps to reach 1)

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

7,945,360 3,972,680 1,986,340 993,170 496,585 1,489,756 744,878 372,439 1,117,318 558,659 1,675,978 837,989 2,513,968 1,256,984 628,492 314,246 157,123 471,370 235,685 707,056 353,528 176,764 88,382 44,191 132,574 66,287 198,862 99,431 298,294 149,147 447,442 223,721 671,164 335,582 167,791 503,374 251,687 755,062 377,531 1,132,594 566,297 1,698,892 849,446 424,723 1,274,170 637,085 1,911,256 955,628 477,814 238,907 716,722 358,361 1,075,084 537,542 268,771 806,314 403,157 1,209,472 604,736 302,368

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