3,756,291

3 × 7² × 11 × 23 × 101

3,756,291 has digital root 6. The neighboring primes are 3756289 and 3756299; its proper-divisor sum differs from the starting integer by -814,854.

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 23 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,697,728

Proper Divisor Sum 2,941,437

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3756289 ← → #3756299

Radix Representation

Decimal	3756291
Binary	1110010101000100000011 (22 bits)
Octal	0o16250403
Hexadecimal	0x395103

Divisor Catalog (48)

1 3 7 11 21 23 33 49 69 77 101 147 161 231 253 303 483 539 707 759 1,111 1,127 1,617 1,771 2,121 2,323 3,333 3,381 4,949 5,313 6,969 7,777 12,397 14,847 16,261 23,331 25,553 37,191 48,783 54,439 76,659 113,827 163,317 178,871 341,481 536,613 1,252,097 3,756,291

Collatz Trajectory (84 steps to reach 1)

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

3,756,291 11,268,874 5,634,437 16,903,312 8,451,656 4,225,828 2,112,914 1,056,457 3,169,372 1,584,686 792,343 2,377,030 1,188,515 3,565,546 1,782,773 5,348,320 2,674,160 1,337,080 668,540 334,270 167,135 501,406 250,703 752,110 376,055 1,128,166 564,083 1,692,250 846,125 2,538,376 1,269,188 634,594 317,297 951,892 475,946 237,973 713,920 356,960 178,480 89,240 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662

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