3,029,445

3² × 5 × 23 × 2927

3,029,445 factors as 3^2 × 5 × 23 × 2927. Its 24 positive divisors give a proper-divisor sum of 2,451,771, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 2927

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,481,216

Proper Divisor Sum 2,451,771

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3029419 ← → #3029447

Radix Representation

Decimal	3029445
Binary	1011100011100111000101 (22 bits)
Octal	0o13434705
Hexadecimal	0x2E39C5

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 2,927 8,781 14,635 26,343 43,905 67,321 131,715 201,963 336,605 605,889 1,009,815 3,029,445

Collatz Trajectory (107 steps to reach 1)

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

3,029,445 9,088,336 4,544,168 2,272,084 1,136,042 568,021 1,704,064 852,032 426,016 213,008 106,504 53,252 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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