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Atlas › Integer Profiles › Node 16,403,800

16,403,800

23 × 52 × 7 × 11717
Abundant Even Composite

16,403,800 factors as 2^3 × 5^2 × 7 × 11717. Its 48 positive divisors give a proper-divisor sum of 27,187,160, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 11717
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,590,960
Proper Divisor Sum 27,187,160
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #16403791 ← → #16403801

Radix Representation

Decimal 16403800
Binary 111110100100110101011000 (24 bits)
Octal 0o76446530
Hexadecimal 0xFA4D58

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 11,717 23,434 46,868 58,585 82,019 93,736 117,170 164,038 234,340 292,925 328,076 410,095 468,680 585,850 656,152 820,190 1,171,700 1,640,380 2,050,475 2,343,400 3,280,760 4,100,950 8,201,900 16,403,800

Collatz Trajectory (218 steps to reach 1)

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

16,403,800 8,201,900 4,100,950 2,050,475 6,151,426 3,075,713 9,227,140 4,613,570 2,306,785 6,920,356 3,460,178 1,730,089 5,190,268 2,595,134 1,297,567 3,892,702 1,946,351 5,839,054 2,919,527 8,758,582 4,379,291 13,137,874 6,568,937 19,706,812 9,853,406 4,926,703 14,780,110 7,390,055 22,170,166 11,085,083 33,255,250 16,627,625 49,882,876 24,941,438 12,470,719 37,412,158 18,706,079 56,118,238 28,059,119 84,177,358 42,088,679 126,266,038 63,133,019 189,399,058 94,699,529 284,098,588 142,049,294 71,024,647 213,073,942 106,536,971 319,610,914 159,805,457 479,416,372 239,708,186 119,854,093 359,562,280 179,781,140 89,890,570 44,945,285 134,835,856

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