λ
Prime Ledger

1,589,136

24 × 3 × 33107
Abundant Even Composite

1,589,136 has the prime decomposition 2^4 × 3 × 33107. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 33107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,105,392
Proper Divisor Sum 2,516,256
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1589129 ← → #1589183

Radix Representation

Decimal 1589136
Binary 110000011111110010000 (21 bits)
Octal 0o6037620
Hexadecimal 0x183F90

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 33,107 66,214 99,321 132,428 198,642 264,856 397,284 529,712 794,568 1,589,136

Collatz Trajectory (124 steps to reach 1)

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

1,589,136 794,568 397,284 198,642 99,321 297,964 148,982 74,491 223,474 111,737 335,212 167,606 83,803 251,410 125,705 377,116 188,558 94,279 282,838 141,419 424,258 212,129 636,388 318,194 159,097 477,292 238,646 119,323 357,970 178,985 536,956 268,478 134,239 402,718 201,359 604,078 302,039 906,118 453,059 1,359,178 679,589 2,038,768 1,019,384 509,692 254,846 127,423 382,270 191,135 573,406 286,703 860,110 430,055 1,290,166 645,083 1,935,250 967,625 2,902,876 1,451,438 725,719 2,177,158

More profiles

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