3,652,926

2 × 3 × 17 × 59 × 607

3,652,926 has digital root 6. The neighboring primes are 3652903 and 3652931; its proper-divisor sum differs from the starting integer by 573,828.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 59 × 607

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,879,680

Proper Divisor Sum 4,226,754

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3652903 ← → #3652931

Radix Representation

Decimal	3652926
Binary	1101111011110100111110 (22 bits)
Octal	0o15736476
Hexadecimal	0x37BD3E

Divisor Catalog (32)

1 2 3 6 17 34 51 59 102 118 177 354 607 1,003 1,214 1,821 2,006 3,009 3,642 6,018 10,319 20,638 30,957 35,813 61,914 71,626 107,439 214,878 608,821 1,217,642 1,826,463 3,652,926

Collatz Trajectory (115 steps to reach 1)

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

3,652,926 1,826,463 5,479,390 2,739,695 8,219,086 4,109,543 12,328,630 6,164,315 18,492,946 9,246,473 27,739,420 13,869,710 6,934,855 20,804,566 10,402,283 31,206,850 15,603,425 46,810,276 23,405,138 11,702,569 35,107,708 17,553,854 8,776,927 26,330,782 13,165,391 39,496,174 19,748,087 59,244,262 29,622,131 88,866,394 44,433,197 133,299,592 66,649,796 33,324,898 16,662,449 49,987,348 24,993,674 12,496,837 37,490,512 18,745,256 9,372,628 4,686,314 2,343,157 7,029,472 3,514,736 1,757,368 878,684 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012

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