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Atlas › Integer Profiles › Node 6,171,920

6,171,920

24 × 5 × 179 × 431
Abundant Even Composite

6,171,920 factors as 2^4 × 5 × 179 × 431. Its 40 positive divisors give a proper-divisor sum of 8,291,440, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 179 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,463,360
Proper Divisor Sum 8,291,440
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6171917 ← → #6171953

Radix Representation

Decimal 6171920
Binary 10111100010110100010000 (23 bits)
Octal 0o27426420
Hexadecimal 0x5E2D10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 179 358 431 716 862 895 1,432 1,724 1,790 2,155 2,864 3,448 3,580 4,310 6,896 7,160 8,620 14,320 17,240 34,480 77,149 154,298 308,596 385,745 617,192 771,490 1,234,384 1,542,980 3,085,960 6,171,920

Collatz Trajectory (103 steps to reach 1)

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

6,171,920 3,085,960 1,542,980 771,490 385,745 1,157,236 578,618 289,309 867,928 433,964 216,982 108,491 325,474 162,737 488,212 244,106 122,053 366,160 183,080 91,540 45,770 22,885 68,656 34,328 17,164 8,582 4,291 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090

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