3,763,827

3⁷ × 1721

3,763,827 has digital root 9. The neighboring primes are 3763819 and 3763829; its proper-divisor sum differs from the starting integer by -1,879,494.

Prime Factor Structure

Factorization String 3^7 × 1721

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,648,160

Proper Divisor Sum 1,884,333

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3763819 ← → #3763829

Radix Representation

Decimal	3763827
Binary	1110010110111001110011 (22 bits)
Octal	0o16267163
Hexadecimal	0x396E73

Divisor Catalog (16)

1 3 9 27 81 243 729 1,721 2,187 5,163 15,489 46,467 139,401 418,203 1,254,609 3,763,827

Collatz Trajectory (154 steps to reach 1)

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

3,763,827 11,291,482 5,645,741 16,937,224 8,468,612 4,234,306 2,117,153 6,351,460 3,175,730 1,587,865 4,763,596 2,381,798 1,190,899 3,572,698 1,786,349 5,359,048 2,679,524 1,339,762 669,881 2,009,644 1,004,822 502,411 1,507,234 753,617 2,260,852 1,130,426 565,213 1,695,640 847,820 423,910 211,955 635,866 317,933 953,800 476,900 238,450 119,225 357,676 178,838 89,419 268,258 134,129 402,388 201,194 100,597 301,792 150,896 75,448 37,724 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979

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