λ
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Atlas › Integer Profiles › Node 17,606,370

17,606,370

2 × 3 × 5 × 293 × 2003
Abundant Even Composite

17,606,370 factors as 2 × 3 × 5 × 293 × 2003. Its 32 positive divisors give a proper-divisor sum of 24,814,302, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 293 × 2003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 42,420,672
Proper Divisor Sum 24,814,302
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17606363 ← → #17606371

Radix Representation

Decimal 17606370
Binary 1000011001010011011100010 (25 bits)
Octal 0o103123342
Hexadecimal 0x10CA6E2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 293 586 879 1,465 1,758 2,003 2,930 4,006 4,395 6,009 8,790 10,015 12,018 20,030 30,045 60,090 586,879 1,173,758 1,760,637 2,934,395 3,521,274 5,868,790 8,803,185 17,606,370

Collatz Trajectory (125 steps to reach 1)

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

17,606,370 8,803,185 26,409,556 13,204,778 6,602,389 19,807,168 9,903,584 4,951,792 2,475,896 1,237,948 618,974 309,487 928,462 464,231 1,392,694 696,347 2,089,042 1,044,521 3,133,564 1,566,782 783,391 2,350,174 1,175,087 3,525,262 1,762,631 5,287,894 2,643,947 7,931,842 3,965,921 11,897,764 5,948,882 2,974,441 8,923,324 4,461,662 2,230,831 6,692,494 3,346,247 10,038,742 5,019,371 15,058,114 7,529,057 22,587,172 11,293,586 5,646,793 16,940,380 8,470,190 4,235,095 12,705,286 6,352,643 19,057,930 9,528,965 28,586,896 14,293,448 7,146,724 3,573,362 1,786,681 5,360,044 2,680,022 1,340,011 4,020,034

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