λ
Prime Ledger

1,201,744

24 × 75109
Deficient Even Composite

1,201,744 has the prime decomposition 2^4 × 75109. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 75109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 2,328,410
Proper Divisor Sum 1,126,666
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1201729 ← → #1201787

Radix Representation

Decimal 1201744
Binary 100100101011001010000 (21 bits)
Octal 0o4453120
Hexadecimal 0x125650

Divisor Catalog (10)

1 2 4 8 16 75,109 150,218 300,436 600,872 1,201,744

Collatz Trajectory (67 steps to reach 1)

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

1,201,744 600,872 300,436 150,218 75,109 225,328 112,664 56,332 28,166 14,083 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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