λ
Harmonic Matrix

1,750,645

5 × 13 × 23 × 1171
Deficient Odd Composite

1,750,645 has digital root 1. The neighboring primes are 1750631 and 1750657; its proper-divisor sum differs from the starting integer by -1,138,538.

Prime Factor Structure

Factorization String 5 × 13 × 23 × 1171
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,362,752
Proper Divisor Sum 612,107
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1750631 ← → #1750657

Radix Representation

Decimal 1750645
Binary 110101011011001110101 (21 bits)
Octal 0o6533165
Hexadecimal 0x1AB675

Divisor Catalog (16)

1 5 13 23 65 115 299 1,171 1,495 5,855 15,223 26,933 76,115 134,665 350,129 1,750,645

Collatz Trajectory (264 steps to reach 1)

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

1,750,645 5,251,936 2,625,968 1,312,984 656,492 328,246 164,123 492,370 246,185 738,556 369,278 184,639 553,918 276,959 830,878 415,439 1,246,318 623,159 1,869,478 934,739 2,804,218 1,402,109 4,206,328 2,103,164 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031 3,549,094 1,774,547 5,323,642 2,661,821 7,985,464 3,992,732 1,996,366 998,183 2,994,550 1,497,275 4,491,826 2,245,913 6,737,740 3,368,870 1,684,435 5,053,306 2,526,653 7,579,960 3,789,980 1,894,990 947,495 2,842,486 1,421,243 4,263,730 2,131,865 6,395,596 3,197,798 1,598,899 4,796,698 2,398,349

More profiles

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