λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,004,100

30,004,100

22 × 52 × 7 × 42863
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 42863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 74,411,904
Proper Divisor Sum 44,407,804
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #30004057 ← → #30004147

Radix Representation

Decimal 30004100
Binary 1110010011101001110000100 (25 bits)
Octal 0o162351604
Hexadecimal 0x1C9D384

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 42,863 85,726 171,452 214,315 300,041 428,630 600,082 857,260 1,071,575 1,200,164 1,500,205 2,143,150 3,000,410 4,286,300 6,000,820 7,501,025 15,002,050 30,004,100

Collatz Trajectory (118 steps to reach 1)

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

30,004,100 15,002,050 7,501,025 22,503,076 11,251,538 5,625,769 16,877,308 8,438,654 4,219,327 12,657,982 6,328,991 18,986,974 9,493,487 28,480,462 14,240,231 42,720,694 21,360,347 64,081,042 32,040,521 96,121,564 48,060,782 24,030,391 72,091,174 36,045,587 108,136,762 54,068,381 162,205,144 81,102,572 40,551,286 20,275,643 60,826,930 30,413,465 91,240,396 45,620,198 22,810,099 68,430,298 34,215,149 102,645,448 51,322,724 25,661,362 12,830,681 38,492,044 19,246,022 9,623,011 28,869,034 14,434,517 43,303,552 21,651,776 10,825,888 5,412,944 2,706,472 1,353,236 676,618 338,309 1,014,928 507,464 253,732 126,866 63,433 190,300

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #30,004,099 Browse Full Index Next Integer #30,004,101 →