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Atlas › Integer Profiles › Node 7,753,360

7,753,360

24 × 5 × 17 × 5701
Abundant Even Composite

7,753,360 factors as 2^4 × 5 × 17 × 5701. Its 40 positive divisors give a proper-divisor sum of 11,336,936, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 5701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,090,296
Proper Divisor Sum 11,336,936
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7753357 ← → #7753363

Radix Representation

Decimal 7753360
Binary 11101100100111010010000 (23 bits)
Octal 0o35447220
Hexadecimal 0x764E90

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 5,701 11,402 22,804 28,505 45,608 57,010 91,216 96,917 114,020 193,834 228,040 387,668 456,080 484,585 775,336 969,170 1,550,672 1,938,340 3,876,680 7,753,360

Collatz Trajectory (173 steps to reach 1)

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

7,753,360 3,876,680 1,938,340 969,170 484,585 1,453,756 726,878 363,439 1,090,318 545,159 1,635,478 817,739 2,453,218 1,226,609 3,679,828 1,839,914 919,957 2,759,872 1,379,936 689,968 344,984 172,492 86,246 43,123 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201

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