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Atlas › Integer Profiles › Node 21,040,720

21,040,720

24 × 5 × 263009
Abundant Even Composite

21,040,720 factors as 2^4 × 5 × 263009. Its 20 positive divisors give a proper-divisor sum of 27,879,140, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 263009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 48,919,860
Proper Divisor Sum 27,879,140
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #21040703 ← → #21040727

Radix Representation

Decimal 21040720
Binary 1010000010000111001010000 (25 bits)
Octal 0o120207120
Hexadecimal 0x1410E50

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 263,009 526,018 1,052,036 1,315,045 2,104,072 2,630,090 4,208,144 5,260,180 10,520,360 21,040,720

Collatz Trajectory (296 steps to reach 1)

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

21,040,720 10,520,360 5,260,180 2,630,090 1,315,045 3,945,136 1,972,568 986,284 493,142 246,571 739,714 369,857 1,109,572 554,786 277,393 832,180 416,090 208,045 624,136 312,068 156,034 78,017 234,052 117,026 58,513 175,540 87,770 43,885 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247

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