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Atlas › Integer Profiles › Node 3,149,490

3,149,490

2 × 3 × 5 × 277 × 379
Abundant Even Composite

3,149,490 factors as 2 × 3 × 5 × 277 × 379. Its 32 positive divisors give a proper-divisor sum of 4,456,590, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 277 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,606,080
Proper Divisor Sum 4,456,590
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3149467 ← → #3149521

Radix Representation

Decimal 3149490
Binary 1100000000111010110010 (22 bits)
Octal 0o14007262
Hexadecimal 0x300EB2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 277 379 554 758 831 1,137 1,385 1,662 1,895 2,274 2,770 3,790 4,155 5,685 8,310 11,370 104,983 209,966 314,949 524,915 629,898 1,049,830 1,574,745 3,149,490

Collatz Trajectory (239 steps to reach 1)

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

3,149,490 1,574,745 4,724,236 2,362,118 1,181,059 3,543,178 1,771,589 5,314,768 2,657,384 1,328,692 664,346 332,173 996,520 498,260 249,130 124,565 373,696 186,848 93,424 46,712 23,356 11,678 5,839 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331

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