4,182,934

2 × 7² × 42683

4,182,934 factors as 2 × 7^2 × 42683. Its 12 positive divisors give a proper-divisor sum of 3,116,030, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 42683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,298,964

Proper Divisor Sum 3,116,030

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4182883 ← → #4182947

Radix Representation

Decimal	4182934
Binary	1111111101001110010110 (22 bits)
Octal	0o17751626
Hexadecimal	0x3FD396

Divisor Catalog (12)

1 2 7 14 49 98 42,683 85,366 298,781 597,562 2,091,467 4,182,934

Collatz Trajectory (198 steps to reach 1)

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

4,182,934 2,091,467 6,274,402 3,137,201 9,411,604 4,705,802 2,352,901 7,058,704 3,529,352 1,764,676 882,338 441,169 1,323,508 661,754 330,877 992,632 496,316 248,158 124,079 372,238 186,119 558,358 279,179 837,538 418,769 1,256,308 628,154 314,077 942,232 471,116 235,558 117,779 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737

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