2,172,000

2⁵ × 3 × 5³ × 181

2,172,000 factors as 2^5 × 3 × 5^3 × 181. Its 96 positive divisors give a proper-divisor sum of 4,982,784, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^3 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,154,784

Proper Divisor Sum 4,982,784

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2171999 ← → #2172007

Radix Representation

Decimal	2172000
Binary	1000010010010001100000 (22 bits)
Octal	0o10222140
Hexadecimal	0x212460

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 181 200 240 250 300 362 375 400 480 500 543 600 724 750 800 905 1,000 1,086 1,200 1,448 1,500 1,810 2,000 2,172 2,400 2,715 2,896 3,000 3,620 4,000 4,344 4,525

Collatz Trajectory (91 steps to reach 1)

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

2,172,000 1,086,000 543,000 271,500 135,750 67,875 203,626 101,813 305,440 152,720 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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