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Atlas › Integer Profiles › Node 7,130,872

7,130,872

23 × 72 × 18191
Abundant Even Composite

7,130,872 factors as 2^3 × 7^2 × 18191. Its 24 positive divisors give a proper-divisor sum of 8,423,288, so this integer is abundant. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 18191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,554,160
Proper Divisor Sum 8,423,288
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7130869 ← → #7130881

Radix Representation

Decimal 7130872
Binary 11011001100111011111000 (23 bits)
Octal 0o33147370
Hexadecimal 0x6CCEF8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 18,191 36,382 72,764 127,337 145,528 254,674 509,348 891,359 1,018,696 1,782,718 3,565,436 7,130,872

Collatz Trajectory (279 steps to reach 1)

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

7,130,872 3,565,436 1,782,718 891,359 2,674,078 1,337,039 4,011,118 2,005,559 6,016,678 3,008,339 9,025,018 4,512,509 13,537,528 6,768,764 3,384,382 1,692,191 5,076,574 2,538,287 7,614,862 3,807,431 11,422,294 5,711,147 17,133,442 8,566,721 25,700,164 12,850,082 6,425,041 19,275,124 9,637,562 4,818,781 14,456,344 7,228,172 3,614,086 1,807,043 5,421,130 2,710,565 8,131,696 4,065,848 2,032,924 1,016,462 508,231 1,524,694 762,347 2,287,042 1,143,521 3,430,564 1,715,282 857,641 2,572,924 1,286,462 643,231 1,929,694 964,847 2,894,542 1,447,271 4,341,814 2,170,907 6,512,722 3,256,361 9,769,084

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