4,796,100

2² × 3² × 5² × 73²

Starting at 4,796,100, the Collatz iteration reaches 1 after 193 steps. The first transition is 2398050; the starting value is even with 81 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 73^2

Distinct Prime Factors 4

Square Status Yes (√4796100 = 2190)

Abundance Measure Abundant

Analytical Properties

Total Divisors 81

Divisor Sum (σ) 15,241,863

Proper Divisor Sum 10,445,763

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4796089 ← → #4796111

Radix Representation

Decimal	4796100
Binary	10010010010111011000100 (23 bits)
Octal	0o22227304
Hexadecimal	0x492EC4

Divisor Catalog (60 of 81)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1,095 1,314 1,460 1,825 2,190 2,628 3,285 3,650 4,380 5,329 5,475 6,570 7,300 10,658 10,950 13,140 15,987 16,425 21,316 21,900 26,645 31,974 32,850 47,961

Collatz Trajectory (193 steps to reach 1)

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

4,796,100 2,398,050 1,199,025 3,597,076 1,798,538 899,269 2,697,808 1,348,904 674,452 337,226 168,613 505,840 252,920 126,460 63,230 31,615 94,846 47,423 142,270 71,135 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074

← Previous Integer #4,796,099 Browse Full Index Next Integer #4,796,101 →