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Atlas › Integer Profiles › Node 1,950,592

1,950,592

27 × 72 × 311
Abundant Even Composite

1,950,592 factors as 2^7 × 7^2 × 311. Its 48 positive divisors give a proper-divisor sum of 2,584,328, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^7 × 7^2 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,534,920
Proper Divisor Sum 2,584,328
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1950577 ← → #1950617

Radix Representation

Decimal 1950592
Binary 111011100001110000000 (21 bits)
Octal 0o7341600
Hexadecimal 0x1DC380

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 311 392 448 622 784 896 1,244 1,568 2,177 2,488 3,136 4,354 4,976 6,272 8,708 9,952 15,239 17,416 19,904 30,478 34,832 39,808 60,956 69,664 121,912 139,328 243,824 278,656 487,648 975,296 1,950,592

Collatz Trajectory (184 steps to reach 1)

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

1,950,592 975,296 487,648 243,824 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069

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