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Atlas › Integer Profiles › Node 20,130,200

20,130,200

23 × 52 × 251 × 401
Abundant Even Composite

20,130,200 factors as 2^3 × 5^2 × 251 × 401. Its 48 positive divisors give a proper-divisor sum of 26,976,160, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 251 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,106,360
Proper Divisor Sum 26,976,160
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #20130197 ← → #20130203

Radix Representation

Decimal 20130200
Binary 1001100110010100110011000 (25 bits)
Octal 0o114624630
Hexadecimal 0x1332998

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 200 251 401 502 802 1,004 1,255 1,604 2,005 2,008 2,510 3,208 4,010 5,020 6,275 8,020 10,025 10,040 12,550 16,040 20,050 25,100 40,100 50,200 80,200 100,651 201,302 402,604 503,255 805,208 1,006,510 2,013,020 2,516,275 4,026,040 5,032,550 10,065,100 20,130,200

Collatz Trajectory (146 steps to reach 1)

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

20,130,200 10,065,100 5,032,550 2,516,275 7,548,826 3,774,413 11,323,240 5,661,620 2,830,810 1,415,405 4,246,216 2,123,108 1,061,554 530,777 1,592,332 796,166 398,083 1,194,250 597,125 1,791,376 895,688 447,844 223,922 111,961 335,884 167,942 83,971 251,914 125,957 377,872 188,936 94,468 47,234 23,617 70,852 35,426 17,713 53,140 26,570 13,285 39,856 19,928 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550

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