λ
Prime Ledger

1,234,509

3 × 411503
Deficient Odd Composite

1,234,509 has the prime decomposition 3 × 411503. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 411503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,646,016
Proper Divisor Sum 411,507
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1234463 ← → #1234511

Radix Representation

Decimal 1234509
Binary 100101101011001001101 (21 bits)
Octal 0o4553115
Hexadecimal 0x12D64D

Divisor Catalog (4)

1 3 411,503 1,234,509

Collatz Trajectory (173 steps to reach 1)

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

1,234,509 3,703,528 1,851,764 925,882 462,941 1,388,824 694,412 347,206 173,603 520,810 260,405 781,216 390,608 195,304 97,652 48,826 24,413 73,240 36,620 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218

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