3,492,000

2⁵ × 3² × 5³ × 97

For 3,492,000, the 144 positive divisors have a total of 12,520,872. Removing 3,492,000 leaves 9,028,872, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^3 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 12,520,872

Proper Divisor Sum 9,028,872

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3491981 ← → #3492001

Radix Representation

Decimal	3492000
Binary	1101010100100010100000 (22 bits)
Octal	0o15244240
Hexadecimal	0x3548A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 97 100 120 125 144 150 160 180 194 200 225 240 250 288 291 300 360 375 388 400 450 480 485 500 582 600 720 750 776 800 873

Collatz Trajectory (71 steps to reach 1)

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

3,492,000 1,746,000 873,000 436,500 218,250 109,125 327,376 163,688 81,844 40,922 20,461 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106

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