λ
Math Directory

1,794,013

13 × 59 × 2339
Deficient Odd Composite

1,794,013 factors as 13 × 59 × 2339. Its 8 positive divisors give a proper-divisor sum of 171,587, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 13 × 59 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,965,600
Proper Divisor Sum 171,587
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1794007 ← → #1794017

Radix Representation

Decimal 1794013
Binary 110110101111111011101 (21 bits)
Octal 0o6657735
Hexadecimal 0x1B5FDD

Divisor Catalog (8)

1 13 59 767 2,339 30,407 138,001 1,794,013

Collatz Trajectory (65 steps to reach 1)

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

1,794,013 5,382,040 2,691,020 1,345,510 672,755 2,018,266 1,009,133 3,027,400 1,513,700 756,850 378,425 1,135,276 567,638 283,819 851,458 425,729 1,277,188 638,594 319,297 957,892 478,946 239,473 718,420 359,210 179,605 538,816 269,408 134,704 67,352 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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