3,771,795

3 × 5 × 41 × 6133

3,771,795 has digital root 3. The neighboring primes are 3771767 and 3771821; its proper-divisor sum differs from the starting integer by -1,360,518.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 6133

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,183,072

Proper Divisor Sum 2,411,277

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3771767 ← → #3771821

Radix Representation

Decimal	3771795
Binary	1110011000110110010011 (22 bits)
Octal	0o16306623
Hexadecimal	0x398D93

Divisor Catalog (16)

1 3 5 15 41 123 205 615 6,133 18,399 30,665 91,995 251,453 754,359 1,257,265 3,771,795

Collatz Trajectory (110 steps to reach 1)

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

3,771,795 11,315,386 5,657,693 16,973,080 8,486,540 4,243,270 2,121,635 6,364,906 3,182,453 9,547,360 4,773,680 2,386,840 1,193,420 596,710 298,355 895,066 447,533 1,342,600 671,300 335,650 167,825 503,476 251,738 125,869 377,608 188,804 94,402 47,201 141,604 70,802 35,401 106,204 53,102 26,551 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989

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