3,683,742

2 × 3 × 613957

For 3,683,742, the 8 positive divisors have a total of 7,367,496. Removing 3,683,742 leaves 3,683,754, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 613957

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,367,496

Proper Divisor Sum 3,683,754

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3683741 ← → #3683803

Radix Representation

Decimal	3683742
Binary	1110000011010110011110 (22 bits)
Octal	0o16032636
Hexadecimal	0x38359E

Divisor Catalog (8)

1 2 3 6 613,957 1,227,914 1,841,871 3,683,742

Collatz Trajectory (265 steps to reach 1)

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

3,683,742 1,841,871 5,525,614 2,762,807 8,288,422 4,144,211 12,432,634 6,216,317 18,648,952 9,324,476 4,662,238 2,331,119 6,993,358 3,496,679 10,490,038 5,245,019 15,735,058 7,867,529 23,602,588 11,801,294 5,900,647 17,701,942 8,850,971 26,552,914 13,276,457 39,829,372 19,914,686 9,957,343 29,872,030 14,936,015 44,808,046 22,404,023 67,212,070 33,606,035 100,818,106 50,409,053 151,227,160 75,613,580 37,806,790 18,903,395 56,710,186 28,355,093 85,065,280 42,532,640 21,266,320 10,633,160 5,316,580 2,658,290 1,329,145 3,987,436 1,993,718 996,859 2,990,578 1,495,289 4,485,868 2,242,934 1,121,467 3,364,402 1,682,201 5,046,604

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