3,500,496

2⁴ × 3⁴ × 37 × 73

3,500,496 has the prime decomposition 2^4 × 3^4 × 37 × 73. Its 4 distinct prime factors produce 100 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 37 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 10,547,812

Proper Divisor Sum 7,047,316

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3500477 ← → #3500509

Radix Representation

Decimal	3500496
Binary	1101010110100111010000 (22 bits)
Octal	0o15264720
Hexadecimal	0x3569D0

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 73 74 81 108 111 144 146 148 162 216 219 222 292 296 324 333 432 438 444 584 592 648 657 666 876 888 999 1,168 1,296 1,314 1,332 1,752 1,776 1,971 1,998 2,628 2,664 2,701 2,997 3,504 3,942 3,996 5,256

Collatz Trajectory (128 steps to reach 1)

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

3,500,496 1,750,248 875,124 437,562 218,781 656,344 328,172 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220

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