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Atlas › Integer Profiles › Node 1,029,520

1,029,520

24 × 5 × 17 × 757
Abundant Even Composite

1,029,520 factors as 2^4 × 5 × 17 × 757. Its 40 positive divisors give a proper-divisor sum of 1,508,264, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,537,784
Proper Divisor Sum 1,508,264
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1029517 ← → #1029521

Radix Representation

Decimal 1029520
Binary 11111011010110010000 (20 bits)
Octal 0o3732620
Hexadecimal 0xFB590

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 757 1,360 1,514 3,028 3,785 6,056 7,570 12,112 12,869 15,140 25,738 30,280 51,476 60,560 64,345 102,952 128,690 205,904 257,380 514,760 1,029,520

Collatz Trajectory (59 steps to reach 1)

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

1,029,520 514,760 257,380 128,690 64,345 193,036 96,518 48,259 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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