λ
Harmonic Matrix

1,744,716

22 × 3 × 347 × 419
Abundant Even Composite

1,744,716 has digital root 3. The neighboring primes are 1744709 and 1744723; its proper-divisor sum differs from the starting integer by 603,048.

Prime Factor Structure

Factorization String 2^2 × 3 × 347 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,092,480
Proper Divisor Sum 2,347,764
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1744709 ← → #1744723

Radix Representation

Decimal 1744716
Binary 110101001111101001100 (21 bits)
Octal 0o6517514
Hexadecimal 0x1A9F4C

Divisor Catalog (24)

1 2 3 4 6 12 347 419 694 838 1,041 1,257 1,388 1,676 2,082 2,514 4,164 5,028 145,393 290,786 436,179 581,572 872,358 1,744,716

Collatz Trajectory (158 steps to reach 1)

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

1,744,716 872,358 436,179 1,308,538 654,269 1,962,808 981,404 490,702 245,351 736,054 368,027 1,104,082 552,041 1,656,124 828,062 414,031 1,242,094 621,047 1,863,142 931,571 2,794,714 1,397,357 4,192,072 2,096,036 1,048,018 524,009 1,572,028 786,014 393,007 1,179,022 589,511 1,768,534 884,267 2,652,802 1,326,401 3,979,204 1,989,602 994,801 2,984,404 1,492,202 746,101 2,238,304 1,119,152 559,576 279,788 139,894 69,947 209,842 104,921 314,764 157,382 78,691 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066

More profiles

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