λ
Modular Archive

3,492,978

2 × 3 × 67 × 8689
Abundant Even Composite

The decimal integer 3,492,978 is 1101010100110001110010 in binary (22 bits), 15246162 in octal and 354C72 in hexadecimal. Its digit sum is 42.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 8689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,091,040
Proper Divisor Sum 3,598,062
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3492971 ← → #3492989

Radix Representation

Decimal 3492978
Binary 1101010100110001110010 (22 bits)
Octal 0o15246162
Hexadecimal 0x354C72

Divisor Catalog (16)

1 2 3 6 67 134 201 402 8,689 17,378 26,067 52,134 582,163 1,164,326 1,746,489 3,492,978

Collatz Trajectory (128 steps to reach 1)

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

3,492,978 1,746,489 5,239,468 2,619,734 1,309,867 3,929,602 1,964,801 5,894,404 2,947,202 1,473,601 4,420,804 2,210,402 1,105,201 3,315,604 1,657,802 828,901 2,486,704 1,243,352 621,676 310,838 155,419 466,258 233,129 699,388 349,694 174,847 524,542 262,271 786,814 393,407 1,180,222 590,111 1,770,334 885,167 2,655,502 1,327,751 3,983,254 1,991,627 5,974,882 2,987,441 8,962,324 4,481,162 2,240,581 6,721,744 3,360,872 1,680,436 840,218 420,109 1,260,328 630,164 315,082 157,541 472,624 236,312 118,156 59,078 29,539 88,618 44,309 132,928

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