2,741,375

5³ × 7 × 13 × 241

2,741,375 factors as 5^3 × 7 × 13 × 241. Its 32 positive divisors give a proper-divisor sum of 1,486,849, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 13 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,228,224

Proper Divisor Sum 1,486,849

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2741363 ← → #2741411

Radix Representation

Decimal	2741375
Binary	1010011101010001111111 (22 bits)
Octal	0o12352177
Hexadecimal	0x29D47F

Divisor Catalog (32)

Collatz Trajectory (143 steps to reach 1)

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

2,741,375 8,224,126 4,112,063 12,336,190 6,168,095 18,504,286 9,252,143 27,756,430 13,878,215 41,634,646 20,817,323 62,451,970 31,225,985 93,677,956 46,838,978 23,419,489 70,258,468 35,129,234 17,564,617 52,693,852 26,346,926 13,173,463 39,520,390 19,760,195 59,280,586 29,640,293 88,920,880 44,460,440 22,230,220 11,115,110 5,557,555 16,672,666 8,336,333 25,009,000 12,504,500 6,252,250 3,126,125 9,378,376 4,689,188 2,344,594 1,172,297 3,516,892 1,758,446 879,223 2,637,670 1,318,835 3,956,506 1,978,253 5,934,760 2,967,380 1,483,690 741,845 2,225,536 1,112,768 556,384 278,192 139,096 69,548 34,774 17,387

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