2,179,800

2³ × 3² × 5² × 7 × 173

Starting at 2,179,800, the Collatz iteration reaches 1 after 148 steps. The first transition is 1089900; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 7 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 8,414,640

Proper Divisor Sum 6,234,840

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2179787 ← → #2179811

Radix Representation

Decimal	2179800
Binary	1000010100001011011000 (22 bits)
Octal	0o10241330
Hexadecimal	0x2142D8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 173 175 180 200 210 225 252 280 300 315 346 350 360 420 450 504 519 525 600

Collatz Trajectory (148 steps to reach 1)

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

2,179,800 1,089,900 544,950 272,475 817,426 408,713 1,226,140 613,070 306,535 919,606 459,803 1,379,410 689,705 2,069,116 1,034,558 517,279 1,551,838 775,919 2,327,758 1,163,879 3,491,638 1,745,819 5,237,458 2,618,729 7,856,188 3,928,094 1,964,047 5,892,142 2,946,071 8,838,214 4,419,107 13,257,322 6,628,661 19,885,984 9,942,992 4,971,496 2,485,748 1,242,874 621,437 1,864,312 932,156 466,078 233,039 699,118 349,559 1,048,678 524,339 1,573,018 786,509 2,359,528 1,179,764 589,882 294,941 884,824 442,412 221,206 110,603 331,810 165,905 497,716

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