3,427,924

2² × 89 × 9629

3,427,924 has digital root 4. The neighboring primes are 3427913 and 3427933; its proper-divisor sum differs from the starting integer by -788,948.

Prime Factor Structure

Factorization String 2^2 × 89 × 9629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,066,900

Proper Divisor Sum 2,638,976

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3427913 ← → #3427933

Radix Representation

Decimal	3427924
Binary	1101000100111001010100 (22 bits)
Octal	0o15047124
Hexadecimal	0x344E54

Divisor Catalog (12)

1 2 4 89 178 356 9,629 19,258 38,516 856,981 1,713,962 3,427,924

Collatz Trajectory (128 steps to reach 1)

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

3,427,924 1,713,962 856,981 2,570,944 1,285,472 642,736 321,368 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748

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