3,209,742

2 × 3² × 23 × 7753

3,209,742 has digital root 9. The neighboring primes are 3209741 and 3209761; its proper-divisor sum differs from the starting integer by 838,260.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 7753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,257,744

Proper Divisor Sum 4,048,002

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3209741 ← → #3209761

Radix Representation

Decimal	3209742
Binary	1100001111101000001110 (22 bits)
Octal	0o14175016
Hexadecimal	0x30FA0E

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 7,753 15,506 23,259 46,518 69,777 139,554 178,319 356,638 534,957 1,069,914 1,604,871 3,209,742

Collatz Trajectory (270 steps to reach 1)

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

3,209,742 1,604,871 4,814,614 2,407,307 7,221,922 3,610,961 10,832,884 5,416,442 2,708,221 8,124,664 4,062,332 2,031,166 1,015,583 3,046,750 1,523,375 4,570,126 2,285,063 6,855,190 3,427,595 10,282,786 5,141,393 15,424,180 7,712,090 3,856,045 11,568,136 5,784,068 2,892,034 1,446,017 4,338,052 2,169,026 1,084,513 3,253,540 1,626,770 813,385 2,440,156 1,220,078 610,039 1,830,118 915,059 2,745,178 1,372,589 4,117,768 2,058,884 1,029,442 514,721 1,544,164 772,082 386,041 1,158,124 579,062 289,531 868,594 434,297 1,302,892 651,446 325,723 977,170 488,585 1,465,756 732,878

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