3,756,980

2² × 5 × 37 × 5077

3,756,980 has digital root 2. The neighboring primes are 3756947 and 3756989; its proper-divisor sum differs from the starting integer by 590,528.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 5077

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,104,488

Proper Divisor Sum 4,347,508

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3756947 ← → #3756989

Radix Representation

Decimal	3756980
Binary	1110010101001110110100 (22 bits)
Octal	0o16251664
Hexadecimal	0x3953B4

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 5,077 10,154 20,308 25,385 50,770 101,540 187,849 375,698 751,396 939,245 1,878,490 3,756,980

Collatz Trajectory (185 steps to reach 1)

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

3,756,980 1,878,490 939,245 2,817,736 1,408,868 704,434 352,217 1,056,652 528,326 264,163 792,490 396,245 1,188,736 594,368 297,184 148,592 74,296 37,148 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836

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