λ
Harmonic Matrix

1,745,336

23 × 29 × 7523
Deficient Even Composite

1,745,336 has digital root 2. The neighboring primes are 1745333 and 1745351; its proper-divisor sum differs from the starting integer by -104,872.

Prime Factor Structure

Factorization String 2^3 × 29 × 7523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,385,800
Proper Divisor Sum 1,640,464
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1745333 ← → #1745351

Radix Representation

Decimal 1745336
Binary 110101010000110111000 (21 bits)
Octal 0o6520670
Hexadecimal 0x1AA1B8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 7,523 15,046 30,092 60,184 218,167 436,334 872,668 1,745,336

Collatz Trajectory (189 steps to reach 1)

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

1,745,336 872,668 436,334 218,167 654,502 327,251 981,754 490,877 1,472,632 736,316 368,158 184,079 552,238 276,119 828,358 414,179 1,242,538 621,269 1,863,808 931,904 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484

More profiles

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