λ
Harmonic Matrix

1,775,088

24 × 33 × 7 × 587
Abundant Even Composite

1,775,088 has digital root 9. The neighboring primes are 1775069 and 1775171; its proper-divisor sum differs from the starting integer by 2,282,784.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 5,832,960
Proper Divisor Sum 4,057,872
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1775069 ← → #1775171

Radix Representation

Decimal 1775088
Binary 110110001010111110000 (21 bits)
Octal 0o6612760
Hexadecimal 0x1B15F0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 587 756 1,008 1,174 1,512 1,761 2,348 3,024 3,522 4,109 4,696 5,283 7,044 8,218 9,392 10,566 12,327 14,088 15,849 16,436 21,132 24,654 28,176 31,698

Collatz Trajectory (119 steps to reach 1)

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

1,775,088 887,544 443,772 221,886 110,943 332,830 166,415 499,246 249,623 748,870 374,435 1,123,306 561,653 1,684,960 842,480 421,240 210,620 105,310 52,655 157,966 78,983 236,950 118,475 355,426 177,713 533,140 266,570 133,285 399,856 199,928 99,964 49,982 24,991 74,974 37,487 112,462 56,231 168,694 84,347 253,042 126,521 379,564 189,782 94,891 284,674 142,337 427,012 213,506 106,753 320,260 160,130 80,065 240,196 120,098 60,049 180,148 90,074 45,037 135,112 67,556

More profiles

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