λ
Harmonic Matrix

1,738,480

24 × 5 × 31 × 701
Abundant Even Composite

1,738,480 has digital root 4. The neighboring primes are 1738459 and 1738487; its proper-divisor sum differs from the starting integer by 701,344.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,178,304
Proper Divisor Sum 2,439,824
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1738459 ← → #1738487

Radix Representation

Decimal 1738480
Binary 110101000011011110000 (21 bits)
Octal 0o6503360
Hexadecimal 0x1A86F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 701 1,240 1,402 2,480 2,804 3,505 5,608 7,010 11,216 14,020 21,731 28,040 43,462 56,080 86,924 108,655 173,848 217,310 347,696 434,620 869,240 1,738,480

Collatz Trajectory (202 steps to reach 1)

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

1,738,480 869,240 434,620 217,310 108,655 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106 412,553 1,237,660 618,830 309,415 928,246 464,123 1,392,370 696,185 2,088,556 1,044,278 522,139 1,566,418 783,209 2,349,628 1,174,814 587,407 1,762,222 881,111 2,643,334 1,321,667 3,965,002 1,982,501 5,947,504 2,973,752 1,486,876 743,438 371,719 1,115,158 557,579 1,672,738 836,369 2,509,108 1,254,554 627,277 1,881,832 940,916 470,458 235,229 705,688 352,844 176,422 88,211 264,634 132,317 396,952

More profiles

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