2,190,012

2² × 3 × 11 × 47 × 353

2,190,012 factors as 2^2 × 3 × 11 × 47 × 353. Its 48 positive divisors give a proper-divisor sum of 3,519,300, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 47 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,709,312

Proper Divisor Sum 3,519,300

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2189989 ← → #2190017

Radix Representation

Decimal	2190012
Binary	1000010110101010111100 (22 bits)
Octal	0o10265274
Hexadecimal	0x216ABC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 353 517 564 706 1,034 1,059 1,412 1,551 2,068 2,118 3,102 3,883 4,236 6,204 7,766 11,649 15,532 16,591 23,298 33,182 46,596 49,773 66,364 99,546 182,501 199,092 365,002 547,503 730,004 1,095,006 2,190,012

Collatz Trajectory (86 steps to reach 1)

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

2,190,012 1,095,006 547,503 1,642,510 821,255 2,463,766 1,231,883 3,695,650 1,847,825 5,543,476 2,771,738 1,385,869 4,157,608 2,078,804 1,039,402 519,701 1,559,104 779,552 389,776 194,888 97,444 48,722 24,361 73,084 36,542 18,271 54,814 27,407 82,222 41,111 123,334 61,667 185,002 92,501 277,504 138,752 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65

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