3,448,593

3² × 29 × 73 × 181

3,448,593 factors as 3^2 × 29 × 73 × 181. Its 24 positive divisors give a proper-divisor sum of 1,803,927, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 73 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,252,520

Proper Divisor Sum 1,803,927

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3448583 ← → #3448607

Radix Representation

Decimal	3448593
Binary	1101001001111100010001 (22 bits)
Octal	0o15117421
Hexadecimal	0x349F11

Divisor Catalog (24)

Collatz Trajectory (221 steps to reach 1)

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

3,448,593 10,345,780 5,172,890 2,586,445 7,759,336 3,879,668 1,939,834 969,917 2,909,752 1,454,876 727,438 363,719 1,091,158 545,579 1,636,738 818,369 2,455,108 1,227,554 613,777 1,841,332 920,666 460,333 1,381,000 690,500 345,250 172,625 517,876 258,938 129,469 388,408 194,204 97,102 48,551 145,654 72,827 218,482 109,241 327,724 163,862 81,931 245,794 122,897 368,692 184,346 92,173 276,520 138,260 69,130 34,565 103,696 51,848 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646

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