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Atlas › Integer Profiles › Node 20,765,720

20,765,720

23 × 5 × 229 × 2267
Abundant Even Composite

20,765,720 factors as 2^3 × 5 × 229 × 2267. Its 32 positive divisors give a proper-divisor sum of 26,181,880, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 229 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,947,600
Proper Divisor Sum 26,181,880
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #20765713 ← → #20765729

Radix Representation

Decimal 20765720
Binary 1001111001101110000011000 (25 bits)
Octal 0o117156030
Hexadecimal 0x13CDC18

Divisor Catalog (32)

1 2 4 5 8 10 20 40 229 458 916 1,145 1,832 2,267 2,290 4,534 4,580 9,068 9,160 11,335 18,136 22,670 45,340 90,680 519,143 1,038,286 2,076,572 2,595,715 4,153,144 5,191,430 10,382,860 20,765,720

Collatz Trajectory (208 steps to reach 1)

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

20,765,720 10,382,860 5,191,430 2,595,715 7,787,146 3,893,573 11,680,720 5,840,360 2,920,180 1,460,090 730,045 2,190,136 1,095,068 547,534 273,767 821,302 410,651 1,231,954 615,977 1,847,932 923,966 461,983 1,385,950 692,975 2,078,926 1,039,463 3,118,390 1,559,195 4,677,586 2,338,793 7,016,380 3,508,190 1,754,095 5,262,286 2,631,143 7,893,430 3,946,715 11,840,146 5,920,073 17,760,220 8,880,110 4,440,055 13,320,166 6,660,083 19,980,250 9,990,125 29,970,376 14,985,188 7,492,594 3,746,297 11,238,892 5,619,446 2,809,723 8,429,170 4,214,585 12,643,756 6,321,878 3,160,939 9,482,818 4,741,409

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