λ
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Atlas › Integer Profiles › Node 80,024,200

80,024,200

23 × 52 × 19 × 21059
Abundant Even Composite

80,024,200 factors as 2^3 × 5^2 × 19 × 21059. Its 48 positive divisors give a proper-divisor sum of 115,833,800, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 19 × 21059
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 195,858,000
Proper Divisor Sum 115,833,800
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #80024173 ← → #80024213

Radix Representation

Decimal 80024200
Binary 100110001010001001010001000 (27 bits)
Octal 0o461211210
Hexadecimal 0x4C51288

Divisor Catalog (48)

1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1,900 3,800 21,059 42,118 84,236 105,295 168,472 210,590 400,121 421,180 526,475 800,242 842,360 1,052,950 1,600,484 2,000,605 2,105,900 3,200,968 4,001,210 4,211,800 8,002,420 10,003,025 16,004,840 20,006,050 40,012,100 80,024,200

Collatz Trajectory (117 steps to reach 1)

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

80,024,200 40,012,100 20,006,050 10,003,025 30,009,076 15,004,538 7,502,269 22,506,808 11,253,404 5,626,702 2,813,351 8,440,054 4,220,027 12,660,082 6,330,041 18,990,124 9,495,062 4,747,531 14,242,594 7,121,297 21,363,892 10,681,946 5,340,973 16,022,920 8,011,460 4,005,730 2,002,865 6,008,596 3,004,298 1,502,149 4,506,448 2,253,224 1,126,612 563,306 281,653 844,960 422,480 211,240 105,620 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351

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