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Atlas › Integer Profiles › Node 3,344,950

3,344,950

2 × 52 × 7 × 19 × 503
Abundant Even Composite

3,344,950 factors as 2 × 5^2 × 7 × 19 × 503. Its 48 positive divisors give a proper-divisor sum of 4,154,570, so this integer is abundant. The Collatz stopping time is 283 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 19 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,499,520
Proper Divisor Sum 4,154,570
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3344941 ← → #3344951

Radix Representation

Decimal 3344950
Binary 1100110000101000110110 (22 bits)
Octal 0o14605066
Hexadecimal 0x330A36

Divisor Catalog (48)

1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 350 475 503 665 950 1,006 1,330 2,515 3,325 3,521 5,030 6,650 7,042 9,557 12,575 17,605 19,114 25,150 35,210 47,785 66,899 88,025 95,570 133,798 176,050 238,925 334,495 477,850 668,990 1,672,475 3,344,950

Collatz Trajectory (283 steps to reach 1)

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

3,344,950 1,672,475 5,017,426 2,508,713 7,526,140 3,763,070 1,881,535 5,644,606 2,822,303 8,466,910 4,233,455 12,700,366 6,350,183 19,050,550 9,525,275 28,575,826 14,287,913 42,863,740 21,431,870 10,715,935 32,147,806 16,073,903 48,221,710 24,110,855 72,332,566 36,166,283 108,498,850 54,249,425 162,748,276 81,374,138 40,687,069 122,061,208 61,030,604 30,515,302 15,257,651 45,772,954 22,886,477 68,659,432 34,329,716 17,164,858 8,582,429 25,747,288 12,873,644 6,436,822 3,218,411 9,655,234 4,827,617 14,482,852 7,241,426 3,620,713 10,862,140 5,431,070 2,715,535 8,146,606 4,073,303 12,219,910 6,109,955 18,329,866 9,164,933 27,494,800

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