λ
Prime Ledger

1,321,857

32 × 193 × 761
Deficient Odd Composite

1,321,857 has the prime decomposition 3^2 × 193 × 761. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 193 × 761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,921,764
Proper Divisor Sum 599,907
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1321847 ← → #1321867

Radix Representation

Decimal 1321857
Binary 101000010101110000001 (21 bits)
Octal 0o5025601
Hexadecimal 0x142B81

Divisor Catalog (12)

1 3 9 193 579 761 1,737 2,283 6,849 146,873 440,619 1,321,857

Collatz Trajectory (173 steps to reach 1)

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

1,321,857 3,965,572 1,982,786 991,393 2,974,180 1,487,090 743,545 2,230,636 1,115,318 557,659 1,672,978 836,489 2,509,468 1,254,734 627,367 1,882,102 941,051 2,823,154 1,411,577 4,234,732 2,117,366 1,058,683 3,176,050 1,588,025 4,764,076 2,382,038 1,191,019 3,573,058 1,786,529 5,359,588 2,679,794 1,339,897 4,019,692 2,009,846 1,004,923 3,014,770 1,507,385 4,522,156 2,261,078 1,130,539 3,391,618 1,695,809 5,087,428 2,543,714 1,271,857 3,815,572 1,907,786 953,893 2,861,680 1,430,840 715,420 357,710 178,855 536,566 268,283 804,850 402,425 1,207,276 603,638 301,819

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