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Atlas › Integer Profiles › Node 10,291,980

10,291,980

22 × 3 × 5 × 337 × 509
Abundant Even Composite

10,291,980 factors as 2^2 × 3 × 5 × 337 × 509. Its 48 positive divisors give a proper-divisor sum of 18,667,860, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 337 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,959,840
Proper Divisor Sum 18,667,860
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10291973 ← → #10291993

Radix Representation

Decimal 10291980
Binary 100111010000101100001100 (24 bits)
Octal 0o47205414
Hexadecimal 0x9D0B0C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 337 509 674 1,011 1,018 1,348 1,527 1,685 2,022 2,036 2,545 3,054 3,370 4,044 5,055 5,090 6,108 6,740 7,635 10,110 10,180 15,270 20,220 30,540 171,533 343,066 514,599 686,132 857,665 1,029,198 1,715,330 2,058,396 2,572,995 3,430,660 5,145,990 10,291,980

Collatz Trajectory (220 steps to reach 1)

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

10,291,980 5,145,990 2,572,995 7,718,986 3,859,493 11,578,480 5,789,240 2,894,620 1,447,310 723,655 2,170,966 1,085,483 3,256,450 1,628,225 4,884,676 2,442,338 1,221,169 3,663,508 1,831,754 915,877 2,747,632 1,373,816 686,908 343,454 171,727 515,182 257,591 772,774 386,387 1,159,162 579,581 1,738,744 869,372 434,686 217,343 652,030 326,015 978,046 489,023 1,467,070 733,535 2,200,606 1,100,303 3,300,910 1,650,455 4,951,366 2,475,683 7,427,050 3,713,525 11,140,576 5,570,288 2,785,144 1,392,572 696,286 348,143 1,044,430 522,215 1,566,646 783,323 2,349,970

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