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Atlas › Integer Profiles › Node 21,021,968

21,021,968

24 × 11 × 31 × 3853
Abundant Even Composite

21,021,968 factors as 2^4 × 11 × 31 × 3853. Its 40 positive divisors give a proper-divisor sum of 24,856,048, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 31 × 3853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 45,878,016
Proper Divisor Sum 24,856,048
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #21021953 ← → #21021989

Radix Representation

Decimal 21021968
Binary 1010000001100010100010000 (25 bits)
Octal 0o120142420
Hexadecimal 0x140C510

Divisor Catalog (40)

1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1,364 2,728 3,853 5,456 7,706 15,412 30,824 42,383 61,648 84,766 119,443 169,532 238,886 339,064 477,772 678,128 955,544 1,313,873 1,911,088 2,627,746 5,255,492 10,510,984 21,021,968

Collatz Trajectory (221 steps to reach 1)

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

21,021,968 10,510,984 5,255,492 2,627,746 1,313,873 3,941,620 1,970,810 985,405 2,956,216 1,478,108 739,054 369,527 1,108,582 554,291 1,662,874 831,437 2,494,312 1,247,156 623,578 311,789 935,368 467,684 233,842 116,921 350,764 175,382 87,691 263,074 131,537 394,612 197,306 98,653 295,960 147,980 73,990 36,995 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234

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