4,684,052

2² × 37 × 31649

4,684,052 factors as 2^2 × 37 × 31649. Its 12 positive divisors give a proper-divisor sum of 3,734,848, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 31649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,418,900

Proper Divisor Sum 3,734,848

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4684049 ← → #4684073

Radix Representation

Decimal	4684052
Binary	10001110111100100010100 (23 bits)
Octal	0o21674424
Hexadecimal	0x477914

Divisor Catalog (12)

1 2 4 37 74 148 31,649 63,298 126,596 1,171,013 2,342,026 4,684,052

Collatz Trajectory (131 steps to reach 1)

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

4,684,052 2,342,026 1,171,013 3,513,040 1,756,520 878,260 439,130 219,565 658,696 329,348 164,674 82,337 247,012 123,506 61,753 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711

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