2,136,000

2⁶ × 3 × 5³ × 89

Prime Factor Structure

Factorization String 2^6 × 3 × 5^3 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 7,132,320

Proper Divisor Sum 4,996,320

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2135971 ← → #2136011

Radix Representation

Decimal	2136000
Binary	1000001001011111000000 (22 bits)
Octal	0o10113700
Hexadecimal	0x2097C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 120 125 150 160 178 192 200 240 250 267 300 320 356 375 400 445 480 500 534 600 712 750 800 890 960 1,000 1,068 1,200 1,335 1,424 1,500 1,600 1,780 2,000

Collatz Trajectory (122 steps to reach 1)

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

2,136,000 1,068,000 534,000 267,000 133,500 66,750 33,375 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377

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