3,821,428

2² × 13² × 5653

3,821,428 has digital root 1. The neighboring primes are 3821423 and 3821437; its proper-divisor sum differs from the starting integer by -400,082.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 5653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,242,774

Proper Divisor Sum 3,421,346

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3821423 ← → #3821437

Radix Representation

Decimal	3821428
Binary	1110100100111101110100 (22 bits)
Octal	0o16447564
Hexadecimal	0x3A4F74

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 5,653 11,306 22,612 73,489 146,978 293,956 955,357 1,910,714 3,821,428

Collatz Trajectory (79 steps to reach 1)

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

3,821,428 1,910,714 955,357 2,866,072 1,433,036 716,518 358,259 1,074,778 537,389 1,612,168 806,084 403,042 201,521 604,564 302,282 151,141 453,424 226,712 113,356 56,678 28,339 85,018 42,509 127,528 63,764 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19

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