λ
Prime Ledger

1,589,049

32 × 7 × 11 × 2293
Deficient Odd Composite

1,589,049 has the prime decomposition 3^2 × 7 × 11 × 2293. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,862,912
Proper Divisor Sum 1,273,863
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1589017 ← → #1589053

Radix Representation

Decimal 1589049
Binary 110000011111100111001 (21 bits)
Octal 0o6037471
Hexadecimal 0x183F39

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 2,293 6,879 16,051 20,637 25,223 48,153 75,669 144,459 176,561 227,007 529,683 1,589,049

Collatz Trajectory (101 steps to reach 1)

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

1,589,049 4,767,148 2,383,574 1,191,787 3,575,362 1,787,681 5,363,044 2,681,522 1,340,761 4,022,284 2,011,142 1,005,571 3,016,714 1,508,357 4,525,072 2,262,536 1,131,268 565,634 282,817 848,452 424,226 212,113 636,340 318,170 159,085 477,256 238,628 119,314 59,657 178,972 89,486 44,743 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084

More profiles

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