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Atlas › Integer Profiles › Node 1,049,760

1,049,760

25 × 38 × 5
Abundant Even Composite

1,049,760 factors as 2^5 × 3^8 × 5. Its 108 positive divisors give a proper-divisor sum of 2,670,138, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^5 × 3^8 × 5
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 3,719,898
Proper Divisor Sum 2,670,138
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1049747 ← → #1049773

Radix Representation

Decimal 1049760
Binary 100000000010010100000 (21 bits)
Octal 0o4002240
Hexadecimal 0x1004A0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 729 810 864 972 1,080 1,215 1,296 1,440 1,458 1,620

Collatz Trajectory (121 steps to reach 1)

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

1,049,760 524,880 262,440 131,220 65,610 32,805 98,416 49,208 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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