3,771,792

2⁴ × 3³ × 8731

3,771,792 has the prime decomposition 2^4 × 3^3 × 8731. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 8731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,827,680

Proper Divisor Sum 7,055,888

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3771767 ← → #3771821

Radix Representation

Decimal	3771792
Binary	1110011000110110010000 (22 bits)
Octal	0o16306620
Hexadecimal	0x398D90

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 8,731 17,462 26,193 34,924 52,386 69,848 78,579 104,772 139,696 157,158 209,544 235,737 314,316 419,088 471,474 628,632 942,948 1,257,264 1,885,896 3,771,792

Collatz Trajectory (79 steps to reach 1)

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

3,771,792 1,885,896 942,948 471,474 235,737 707,212 353,606 176,803 530,410 265,205 795,616 397,808 198,904 99,452 49,726 24,863 74,590 37,295 111,886 55,943 167,830 83,915 251,746 125,873 377,620 188,810 94,405 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112

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