λ
Ratio Atlas

1,831,773

3 × 59 × 79 × 131
Deficient Odd Composite

1,831,773 factors as 3 × 59 × 79 × 131. Its 16 positive divisors give a proper-divisor sum of 702,627, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3 × 59 × 79 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,534,400
Proper Divisor Sum 702,627
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1831751 ← → #1831783

Radix Representation

Decimal 1831773
Binary 110111111001101011101 (21 bits)
Octal 0o6771535
Hexadecimal 0x1BF35D

Divisor Catalog (16)

1 3 59 79 131 177 237 393 4,661 7,729 10,349 13,983 23,187 31,047 610,591 1,831,773

Collatz Trajectory (109 steps to reach 1)

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

1,831,773 5,495,320 2,747,660 1,373,830 686,915 2,060,746 1,030,373 3,091,120 1,545,560 772,780 386,390 193,195 579,586 289,793 869,380 434,690 217,345 652,036 326,018 163,009 489,028 244,514 122,257 366,772 183,386 91,693 275,080 137,540 68,770 34,385 103,156 51,578 25,789 77,368 38,684 19,342 9,671 29,014 14,507 43,522 21,761 65,284 32,642 16,321 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937

More profiles

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