λ
Modular Archive

2,980,100

22 × 52 × 17 × 1753
Abundant Even Composite

The decimal integer 2,980,100 is 1011010111100100000100 in binary (22 bits), 13274404 in octal and 2D7904 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,851,124
Proper Divisor Sum 3,871,024
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2980067 ← → #2980121

Radix Representation

Decimal 2980100
Binary 1011010111100100000100 (22 bits)
Octal 0o13274404
Hexadecimal 0x2D7904

Divisor Catalog (36)

1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1,700 1,753 3,506 7,012 8,765 17,530 29,801 35,060 43,825 59,602 87,650 119,204 149,005 175,300 298,010 596,020 745,025 1,490,050 2,980,100

Collatz Trajectory (151 steps to reach 1)

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

2,980,100 1,490,050 745,025 2,235,076 1,117,538 558,769 1,676,308 838,154 419,077 1,257,232 628,616 314,308 157,154 78,577 235,732 117,866 58,933 176,800 88,400 44,200 22,100 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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