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Atlas › Integer Profiles › Node 1,962,640

1,962,640

24 × 5 × 24533
Abundant Even Composite

1,962,640 factors as 2^4 × 5 × 24533. Its 20 positive divisors give a proper-divisor sum of 2,600,684, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 24533
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,563,324
Proper Divisor Sum 2,600,684
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1962637 ← → #1962661

Radix Representation

Decimal 1962640
Binary 111011111001010010000 (21 bits)
Octal 0o7371220
Hexadecimal 0x1DF290

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 24,533 49,066 98,132 122,665 196,264 245,330 392,528 490,660 981,320 1,962,640

Collatz Trajectory (184 steps to reach 1)

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

1,962,640 981,320 490,660 245,330 122,665 367,996 183,998 91,999 275,998 137,999 413,998 206,999 620,998 310,499 931,498 465,749 1,397,248 698,624 349,312 174,656 87,328 43,664 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735

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