λ
Modular Archive

3,492,450

2 × 33 × 52 × 13 × 199
Abundant Even Composite

The decimal integer 3,492,450 is 1101010100101001100010 in binary (22 bits), 15245142 in octal and 354A62 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 13 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,416,000
Proper Divisor Sum 6,923,550
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3492439 ← → #3492457

Radix Representation

Decimal 3492450
Binary 1101010100101001100010 (22 bits)
Octal 0o15245142
Hexadecimal 0x354A62

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 199 225 234 270 325 351 390 398 450 585 597 650 675 702 975 995 1,170 1,194 1,350 1,755 1,791 1,950 1,990 2,587 2,925 2,985 3,510 3,582 4,975 5,174 5,373 5,850 5,970

Collatz Trajectory (146 steps to reach 1)

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

3,492,450 1,746,225 5,238,676 2,619,338 1,309,669 3,929,008 1,964,504 982,252 491,126 245,563 736,690 368,345 1,105,036 552,518 276,259 828,778 414,389 1,243,168 621,584 310,792 155,396 77,698 38,849 116,548 58,274 29,137 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103

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