λ
Harmonic Matrix

1,729,693

7 × 247099
Deficient Odd Composite

1,729,693 has digital root 1. The neighboring primes are 1729687 and 1729697; its proper-divisor sum differs from the starting integer by -1,482,586.

Prime Factor Structure

Factorization String 7 × 247099
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,976,800
Proper Divisor Sum 247,107
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1729687 ← → #1729697

Radix Representation

Decimal 1729693
Binary 110100110010010011101 (21 bits)
Octal 0o6462235
Hexadecimal 0x1A649D

Divisor Catalog (4)

1 7 247,099 1,729,693

Collatz Trajectory (220 steps to reach 1)

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

1,729,693 5,189,080 2,594,540 1,297,270 648,635 1,945,906 972,953 2,918,860 1,459,430 729,715 2,189,146 1,094,573 3,283,720 1,641,860 820,930 410,465 1,231,396 615,698 307,849 923,548 461,774 230,887 692,662 346,331 1,038,994 519,497 1,558,492 779,246 389,623 1,168,870 584,435 1,753,306 876,653 2,629,960 1,314,980 657,490 328,745 986,236 493,118 246,559 739,678 369,839 1,109,518 554,759 1,664,278 832,139 2,496,418 1,248,209 3,744,628 1,872,314 936,157 2,808,472 1,404,236 702,118 351,059 1,053,178 526,589 1,579,768 789,884 394,942

More profiles

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