3,354,045

3 × 5 × 31 × 7213

3,354,045 factors as 3 × 5 × 31 × 7213. Its 16 positive divisors give a proper-divisor sum of 2,186,307, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 7213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,540,352

Proper Divisor Sum 2,186,307

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3354037 ← → #3354059

Radix Representation

Decimal	3354045
Binary	1100110010110110111101 (22 bits)
Octal	0o14626675
Hexadecimal	0x332DBD

Divisor Catalog (16)

1 3 5 15 31 93 155 465 7,213 21,639 36,065 108,195 223,603 670,809 1,118,015 3,354,045

Collatz Trajectory (115 steps to reach 1)

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

3,354,045 10,062,136 5,031,068 2,515,534 1,257,767 3,773,302 1,886,651 5,659,954 2,829,977 8,489,932 4,244,966 2,122,483 6,367,450 3,183,725 9,551,176 4,775,588 2,387,794 1,193,897 3,581,692 1,790,846 895,423 2,686,270 1,343,135 4,029,406 2,014,703 6,044,110 3,022,055 9,066,166 4,533,083 13,599,250 6,799,625 20,398,876 10,199,438 5,099,719 15,299,158 7,649,579 22,948,738 11,474,369 34,423,108 17,211,554 8,605,777 25,817,332 12,908,666 6,454,333 19,363,000 9,681,500 4,840,750 2,420,375 7,261,126 3,630,563 10,891,690 5,445,845 16,337,536 8,168,768 4,084,384 2,042,192 1,021,096 510,548 255,274 127,637

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