1,777,300

2² × 5² × 7 × 2539

Starting at 1,777,300, the Collatz iteration reaches 1 after 145 steps. The first transition is 888650; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 2539

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,409,440

Proper Divisor Sum 2,632,140

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1777289 ← → #1777313

Radix Representation

Decimal	1777300
Binary	110110001111010010100 (21 bits)
Octal	0o6617224
Hexadecimal	0x1B1E94

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2,539 5,078 10,156 12,695 17,773 25,390 35,546 50,780 63,475 71,092 88,865 126,950 177,730 253,900 355,460 444,325 888,650 1,777,300

Collatz Trajectory (145 steps to reach 1)

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

1,777,300 888,650 444,325 1,332,976 666,488 333,244 166,622 83,311 249,934 124,967 374,902 187,451 562,354 281,177 843,532 421,766 210,883 632,650 316,325 948,976 474,488 237,244 118,622 59,311 177,934 88,967 266,902 133,451 400,354 200,177 600,532 300,266 150,133 450,400 225,200 112,600 56,300 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879

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