2,946,723

3 × 13 × 75557

2,946,723 factors as 3 × 13 × 75557. Its 8 positive divisors give a proper-divisor sum of 1,284,525, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3 × 13 × 75557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,231,248

Proper Divisor Sum 1,284,525

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2946683 ← → #2946743

Radix Representation

Decimal	2946723
Binary	1011001111011010100011 (22 bits)
Octal	0o13173243
Hexadecimal	0x2CF6A3

Divisor Catalog (8)

1 3 13 39 75,557 226,671 982,241 2,946,723

Collatz Trajectory (120 steps to reach 1)

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

2,946,723 8,840,170 4,420,085 13,260,256 6,630,128 3,315,064 1,657,532 828,766 414,383 1,243,150 621,575 1,864,726 932,363 2,797,090 1,398,545 4,195,636 2,097,818 1,048,909 3,146,728 1,573,364 786,682 393,341 1,180,024 590,012 295,006 147,503 442,510 221,255 663,766 331,883 995,650 497,825 1,493,476 746,738 373,369 1,120,108 560,054 280,027 840,082 420,041 1,260,124 630,062 315,031 945,094 472,547 1,417,642 708,821 2,126,464 1,063,232 531,616 265,808 132,904 66,452 33,226 16,613 49,840 24,920 12,460 6,230 3,115

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