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Atlas › Integer Profiles › Node 21,082,304

21,082,304

26 × 29 × 37 × 307
Abundant Even Composite

21,082,304 factors as 2^6 × 29 × 37 × 307. Its 56 positive divisors give a proper-divisor sum of 23,509,936, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 37 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 44,592,240
Proper Divisor Sum 23,509,936
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #21082301 ← → #21082309

Radix Representation

Decimal 21082304
Binary 1010000011011000011000000 (25 bits)
Octal 0o120330300
Hexadecimal 0x141B0C0

Divisor Catalog (56)

1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 307 464 592 614 928 1,073 1,184 1,228 1,856 2,146 2,368 2,456 4,292 4,912 8,584 8,903 9,824 11,359 17,168 17,806 19,648 22,718 34,336 35,612 45,436 68,672 71,224 90,872 142,448 181,744 284,896 329,411 363,488 569,792 658,822 726,976 1,317,644 2,635,288 5,270,576 10,541,152 21,082,304

Collatz Trajectory (190 steps to reach 1)

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

21,082,304 10,541,152 5,270,576 2,635,288 1,317,644 658,822 329,411 988,234 494,117 1,482,352 741,176 370,588 185,294 92,647 277,942 138,971 416,914 208,457 625,372 312,686 156,343 469,030 234,515 703,546 351,773 1,055,320 527,660 263,830 131,915 395,746 197,873 593,620 296,810 148,405 445,216 222,608 111,304 55,652 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716

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