λ
Prime Ledger

1,431,804

22 × 3 × 11 × 10847
Abundant Even Composite

1,431,804 has the prime decomposition 2^2 × 3 × 11 × 10847. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 10847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,644,928
Proper Divisor Sum 2,213,124
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1431799 ← → #1431809

Radix Representation

Decimal 1431804
Binary 101011101100011111100 (21 bits)
Octal 0o5354374
Hexadecimal 0x15D8FC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 10,847 21,694 32,541 43,388 65,082 119,317 130,164 238,634 357,951 477,268 715,902 1,431,804

Collatz Trajectory (119 steps to reach 1)

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

1,431,804 715,902 357,951 1,073,854 536,927 1,610,782 805,391 2,416,174 1,208,087 3,624,262 1,812,131 5,436,394 2,718,197 8,154,592 4,077,296 2,038,648 1,019,324 509,662 254,831 764,494 382,247 1,146,742 573,371 1,720,114 860,057 2,580,172 1,290,086 645,043 1,935,130 967,565 2,902,696 1,451,348 725,674 362,837 1,088,512 544,256 272,128 136,064 68,032 34,016 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516

More profiles

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