λ
Harmonic Matrix

1,774,460

22 × 5 × 172 × 307
Abundant Even Composite

1,774,460 has digital root 2. The neighboring primes are 1774453 and 1774463; its proper-divisor sum differs from the starting integer by 422,432.

Prime Factor Structure

Factorization String 2^2 × 5 × 17^2 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,971,352
Proper Divisor Sum 2,196,892
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1774453 ← → #1774463

Radix Representation

Decimal 1774460
Binary 110110001001101111100 (21 bits)
Octal 0o6611574
Hexadecimal 0x1B137C

Divisor Catalog (36)

1 2 4 5 10 17 20 34 68 85 170 289 307 340 578 614 1,156 1,228 1,445 1,535 2,890 3,070 5,219 5,780 6,140 10,438 20,876 26,095 52,190 88,723 104,380 177,446 354,892 443,615 887,230 1,774,460

Collatz Trajectory (171 steps to reach 1)

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

1,774,460 887,230 443,615 1,330,846 665,423 1,996,270 998,135 2,994,406 1,497,203 4,491,610 2,245,805 6,737,416 3,368,708 1,684,354 842,177 2,526,532 1,263,266 631,633 1,894,900 947,450 473,725 1,421,176 710,588 355,294 177,647 532,942 266,471 799,414 399,707 1,199,122 599,561 1,798,684 899,342 449,671 1,349,014 674,507 2,023,522 1,011,761 3,035,284 1,517,642 758,821 2,276,464 1,138,232 569,116 284,558 142,279 426,838 213,419 640,258 320,129 960,388 480,194 240,097 720,292 360,146 180,073 540,220 270,110 135,055 405,166

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