3,942,672

2⁴ × 3 × 82139

3,942,672 has digital root 6. The neighboring primes are 3942661 and 3942677; its proper-divisor sum differs from the starting integer by 2,300,016.

Prime Factor Structure

Factorization String 2^4 × 3 × 82139

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,185,360

Proper Divisor Sum 6,242,688

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3942661 ← → #3942677

Radix Representation

Decimal	3942672
Binary	1111000010100100010000 (22 bits)
Octal	0o17024420
Hexadecimal	0x3C2910

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 82,139 164,278 246,417 328,556 492,834 657,112 985,668 1,314,224 1,971,336 3,942,672

Collatz Trajectory (216 steps to reach 1)

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

3,942,672 1,971,336 985,668 492,834 246,417 739,252 369,626 184,813 554,440 277,220 138,610 69,305 207,916 103,958 51,979 155,938 77,969 233,908 116,954 58,477 175,432 87,716 43,858 21,929 65,788 32,894 16,447 49,342 24,671 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064

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