λ
Integer Codex

1,761,520

24 × 5 × 97 × 227
Abundant Even Composite

For 1,761,520, the 40 positive divisors have a total of 4,155,984. Removing 1,761,520 leaves 2,394,464, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 97 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,155,984
Proper Divisor Sum 2,394,464
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1761517 ← → #1761527

Radix Representation

Decimal 1761520
Binary 110101110000011110000 (21 bits)
Octal 0o6560360
Hexadecimal 0x1AE0F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 97 194 227 388 454 485 776 908 970 1,135 1,552 1,816 1,940 2,270 3,632 3,880 4,540 7,760 9,080 18,160 22,019 44,038 88,076 110,095 176,152 220,190 352,304 440,380 880,760 1,761,520

Collatz Trajectory (158 steps to reach 1)

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

1,761,520 880,760 440,380 220,190 110,095 330,286 165,143 495,430 247,715 743,146 371,573 1,114,720 557,360 278,680 139,340 69,670 34,835 104,506 52,253 156,760 78,380 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

More profiles

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