λ
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Atlas › Integer Profiles › Node 1,852,014

1,852,014

2 × 3 × 17 × 67 × 271
Abundant Even Composite

1,852,014 factors as 2 × 3 × 17 × 67 × 271. Its 32 positive divisors give a proper-divisor sum of 2,143,122, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 67 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,995,136
Proper Divisor Sum 2,143,122
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1852013 ← → #1852049

Radix Representation

Decimal 1852014
Binary 111000100001001101110 (21 bits)
Octal 0o7041156
Hexadecimal 0x1C426E

Divisor Catalog (32)

1 2 3 6 17 34 51 67 102 134 201 271 402 542 813 1,139 1,626 2,278 3,417 4,607 6,834 9,214 13,821 18,157 27,642 36,314 54,471 108,942 308,669 617,338 926,007 1,852,014

Collatz Trajectory (83 steps to reach 1)

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

1,852,014 926,007 2,778,022 1,389,011 4,167,034 2,083,517 6,250,552 3,125,276 1,562,638 781,319 2,343,958 1,171,979 3,515,938 1,757,969 5,273,908 2,636,954 1,318,477 3,955,432 1,977,716 988,858 494,429 1,483,288 741,644 370,822 185,411 556,234 278,117 834,352 417,176 208,588 104,294 52,147 156,442 78,221 234,664 117,332 58,666 29,333 88,000 44,000 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960

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