λ
Prime Ledger

1,789,727

37 × 48371
Deficient Odd Composite

1,789,727 has the prime decomposition 37 × 48371. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 48371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,838,136
Proper Divisor Sum 48,409
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1789721 ← → #1789751

Radix Representation

Decimal 1789727
Binary 110110100111100011111 (21 bits)
Octal 0o6647437
Hexadecimal 0x1B4F1F

Divisor Catalog (4)

1 37 48,371 1,789,727

Collatz Trajectory (264 steps to reach 1)

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

1,789,727 5,369,182 2,684,591 8,053,774 4,026,887 12,080,662 6,040,331 18,120,994 9,060,497 27,181,492 13,590,746 6,795,373 20,386,120 10,193,060 5,096,530 2,548,265 7,644,796 3,822,398 1,911,199 5,733,598 2,866,799 8,600,398 4,300,199 12,900,598 6,450,299 19,350,898 9,675,449 29,026,348 14,513,174 7,256,587 21,769,762 10,884,881 32,654,644 16,327,322 8,163,661 24,490,984 12,245,492 6,122,746 3,061,373 9,184,120 4,592,060 2,296,030 1,148,015 3,444,046 1,722,023 5,166,070 2,583,035 7,749,106 3,874,553 11,623,660 5,811,830 2,905,915 8,717,746 4,358,873 13,076,620 6,538,310 3,269,155 9,807,466 4,903,733 14,711,200

More profiles

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