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Atlas › Integer Profiles › Node 7,808,752

7,808,752

24 × 7 × 113 × 617
Abundant Even Composite

7,808,752 factors as 2^4 × 7 × 113 × 617. Its 40 positive divisors give a proper-divisor sum of 9,663,344, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 113 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,472,096
Proper Divisor Sum 9,663,344
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7808747 ← → #7808767

Radix Representation

Decimal 7808752
Binary 11101110010011011110000 (23 bits)
Octal 0o35623360
Hexadecimal 0x7726F0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 113 226 452 617 791 904 1,234 1,582 1,808 2,468 3,164 4,319 4,936 6,328 8,638 9,872 12,656 17,276 34,552 69,104 69,721 139,442 278,884 488,047 557,768 976,094 1,115,536 1,952,188 3,904,376 7,808,752

Collatz Trajectory (129 steps to reach 1)

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

7,808,752 3,904,376 1,952,188 976,094 488,047 1,464,142 732,071 2,196,214 1,098,107 3,294,322 1,647,161 4,941,484 2,470,742 1,235,371 3,706,114 1,853,057 5,559,172 2,779,586 1,389,793 4,169,380 2,084,690 1,042,345 3,127,036 1,563,518 781,759 2,345,278 1,172,639 3,517,918 1,758,959 5,276,878 2,638,439 7,915,318 3,957,659 11,872,978 5,936,489 17,809,468 8,904,734 4,452,367 13,357,102 6,678,551 20,035,654 10,017,827 30,053,482 15,026,741 45,080,224 22,540,112 11,270,056 5,635,028 2,817,514 1,408,757 4,226,272 2,113,136 1,056,568 528,284 264,142 132,071 396,214 198,107 594,322 297,161

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