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1,607,240

23 × 5 × 23 × 1747
Abundant Even Composite

1,607,240 factors as 2^3 × 5 × 23 × 1747. Its 32 positive divisors give a proper-divisor sum of 2,168,440, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,775,680
Proper Divisor Sum 2,168,440
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1607237 ← → #1607261

Radix Representation

Decimal 1607240
Binary 110001000011001001000 (21 bits)
Octal 0o6103110
Hexadecimal 0x188648

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1,747 3,494 6,988 8,735 13,976 17,470 34,940 40,181 69,880 80,362 160,724 200,905 321,448 401,810 803,620 1,607,240

Collatz Trajectory (114 steps to reach 1)

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

1,607,240 803,620 401,810 200,905 602,716 301,358 150,679 452,038 226,019 678,058 339,029 1,017,088 508,544 254,272 127,136 63,568 31,784 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708

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