λ
Prime Ledger

1,426,729

19 × 61 × 1231
Deficient Odd Composite

1,426,729 has the prime decomposition 19 × 61 × 1231. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 61 × 1231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,527,680
Proper Divisor Sum 100,951
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1426723 ← → #1426741

Radix Representation

Decimal 1426729
Binary 101011100010100101001 (21 bits)
Octal 0o5342451
Hexadecimal 0x15C529

Divisor Catalog (8)

1 19 61 1,159 1,231 23,389 75,091 1,426,729

Collatz Trajectory (106 steps to reach 1)

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

1,426,729 4,280,188 2,140,094 1,070,047 3,210,142 1,605,071 4,815,214 2,407,607 7,222,822 3,611,411 10,834,234 5,417,117 16,251,352 8,125,676 4,062,838 2,031,419 6,094,258 3,047,129 9,141,388 4,570,694 2,285,347 6,856,042 3,428,021 10,284,064 5,142,032 2,571,016 1,285,508 642,754 321,377 964,132 482,066 241,033 723,100 361,550 180,775 542,326 271,163 813,490 406,745 1,220,236 610,118 305,059 915,178 457,589 1,372,768 686,384 343,192 171,596 85,798 42,899 128,698 64,349 193,048 96,524 48,262 24,131 72,394 36,197 108,592 54,296

More profiles

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