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Atlas › Integer Profiles › Node 1,927,310

1,927,310

2 × 5 × 7 × 11 × 2503
Abundant Even Composite

1,927,310 factors as 2 × 5 × 7 × 11 × 2503. Its 32 positive divisors give a proper-divisor sum of 2,399,602, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 2503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,326,912
Proper Divisor Sum 2,399,602
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1927297 ← → #1927313

Radix Representation

Decimal 1927310
Binary 111010110100010001110 (21 bits)
Octal 0o7264216
Hexadecimal 0x1D688E

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 2,503 5,006 12,515 17,521 25,030 27,533 35,042 55,066 87,605 137,665 175,210 192,731 275,330 385,462 963,655 1,927,310

Collatz Trajectory (215 steps to reach 1)

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

1,927,310 963,655 2,890,966 1,445,483 4,336,450 2,168,225 6,504,676 3,252,338 1,626,169 4,878,508 2,439,254 1,219,627 3,658,882 1,829,441 5,488,324 2,744,162 1,372,081 4,116,244 2,058,122 1,029,061 3,087,184 1,543,592 771,796 385,898 192,949 578,848 289,424 144,712 72,356 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226

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