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Atlas › Integer Profiles › Node 7,779,640

7,779,640

23 × 5 × 11 × 17681
Abundant Even Composite

7,779,640 factors as 2^3 × 5 × 11 × 17681. Its 32 positive divisors give a proper-divisor sum of 11,316,920, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,096,560
Proper Divisor Sum 11,316,920
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7779631 ← → #7779641

Radix Representation

Decimal 7779640
Binary 11101101011010100111000 (23 bits)
Octal 0o35532470
Hexadecimal 0x76B538

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 17,681 35,362 70,724 88,405 141,448 176,810 194,491 353,620 388,982 707,240 777,964 972,455 1,555,928 1,944,910 3,889,820 7,779,640

Collatz Trajectory (186 steps to reach 1)

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

7,779,640 3,889,820 1,944,910 972,455 2,917,366 1,458,683 4,376,050 2,188,025 6,564,076 3,282,038 1,641,019 4,923,058 2,461,529 7,384,588 3,692,294 1,846,147 5,538,442 2,769,221 8,307,664 4,153,832 2,076,916 1,038,458 519,229 1,557,688 778,844 389,422 194,711 584,134 292,067 876,202 438,101 1,314,304 657,152 328,576 164,288 82,144 41,072 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

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