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Atlas › Integer Profiles › Node 20,184,640

20,184,640

26 × 5 × 7 × 9011
Abundant Even Composite

20,184,640 factors as 2^6 × 5 × 7 × 9011. Its 56 positive divisors give a proper-divisor sum of 34,752,512, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 9011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 54,937,152
Proper Divisor Sum 34,752,512
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20184617 ← → #20184641

Radix Representation

Decimal 20184640
Binary 1001100111111111001000000 (25 bits)
Octal 0o114777100
Hexadecimal 0x133FE40

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 2,240 9,011 18,022 36,044 45,055 63,077 72,088 90,110 126,154 144,176 180,220 252,308 288,352 315,385 360,440 504,616 576,704 630,770 720,880 1,009,232 1,261,540 1,441,760 2,018,464 2,523,080 2,883,520 4,036,928 5,046,160 10,092,320 20,184,640

Collatz Trajectory (133 steps to reach 1)

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

20,184,640 10,092,320 5,046,160 2,523,080 1,261,540 630,770 315,385 946,156 473,078 236,539 709,618 354,809 1,064,428 532,214 266,107 798,322 399,161 1,197,484 598,742 299,371 898,114 449,057 1,347,172 673,586 336,793 1,010,380 505,190 252,595 757,786 378,893 1,136,680 568,340 284,170 142,085 426,256 213,128 106,564 53,282 26,641 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562

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