λ
Harmonic Matrix

1,706,440

23 × 5 × 37 × 1153
Abundant Even Composite

1,706,440 has digital root 4. The neighboring primes are 1706437 and 1706449; its proper-divisor sum differs from the starting integer by 533,800.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,946,680
Proper Divisor Sum 2,240,240
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1706437 ← → #1706449

Radix Representation

Decimal 1706440
Binary 110100000100111001000 (21 bits)
Octal 0o6404710
Hexadecimal 0x1A09C8

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,153 1,480 2,306 4,612 5,765 9,224 11,530 23,060 42,661 46,120 85,322 170,644 213,305 341,288 426,610 853,220 1,706,440

Collatz Trajectory (207 steps to reach 1)

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

1,706,440 853,220 426,610 213,305 639,916 319,958 159,979 479,938 239,969 719,908 359,954 179,977 539,932 269,966 134,983 404,950 202,475 607,426 303,713 911,140 455,570 227,785 683,356 341,678 170,839 512,518 256,259 768,778 384,389 1,153,168 576,584 288,292 144,146 72,073 216,220 108,110 54,055 162,166 81,083 243,250 121,625 364,876 182,438 91,219 273,658 136,829 410,488 205,244 102,622 51,311 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766 129,883 389,650

More profiles

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