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Atlas › Integer Profiles › Node 9,740,920

9,740,920

23 × 5 × 7 × 19 × 1831
Abundant Even Composite

9,740,920 factors as 2^3 × 5 × 7 × 19 × 1831. Its 64 positive divisors give a proper-divisor sum of 16,639,880, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 19 × 1831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,380,800
Proper Divisor Sum 16,639,880
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9740917 ← → #9740933

Radix Representation

Decimal 9740920
Binary 100101001010001001111000 (24 bits)
Octal 0o45121170
Hexadecimal 0x94A278

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1,064 1,330 1,831 2,660 3,662 5,320 7,324 9,155 12,817 14,648 18,310 25,634 34,789 36,620 51,268 64,085 69,578 73,240 102,536 128,170 139,156 173,945 243,523 256,340 278,312 347,890 487,046 512,680 695,780 974,092 1,217,615 1,391,560

Collatz Trajectory (207 steps to reach 1)

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

9,740,920 4,870,460 2,435,230 1,217,615 3,652,846 1,826,423 5,479,270 2,739,635 8,218,906 4,109,453 12,328,360 6,164,180 3,082,090 1,541,045 4,623,136 2,311,568 1,155,784 577,892 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300

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