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Atlas › Integer Profiles › Node 1,996,480

1,996,480

26 × 5 × 17 × 367
Abundant Even Composite

1,996,480 factors as 2^6 × 5 × 17 × 367. Its 56 positive divisors give a proper-divisor sum of 3,051,008, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,047,488
Proper Divisor Sum 3,051,008
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1996471 ← → #1996481

Radix Representation

Decimal 1996480
Binary 111100111011011000000 (21 bits)
Octal 0o7473300
Hexadecimal 0x1E76C0

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 367 544 680 734 1,088 1,360 1,468 1,835 2,720 2,936 3,670 5,440 5,872 6,239 7,340 11,744 12,478 14,680 23,488 24,956 29,360 31,195 49,912 58,720 62,390 99,824 117,440 124,780 199,648 249,560 399,296 499,120 998,240 1,996,480

Collatz Trajectory (215 steps to reach 1)

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

1,996,480 998,240 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670

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