λ
Prime Ledger

1,670,904

23 × 32 × 23 × 1009
Abundant Even Composite

1,670,904 has the prime decomposition 2^3 × 3^2 × 23 × 1009. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,726,800
Proper Divisor Sum 3,055,896
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1670899 ← → #1670923

Radix Representation

Decimal 1670904
Binary 110010111111011111000 (21 bits)
Octal 0o6277370
Hexadecimal 0x197EF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1,009 1,656 2,018 3,027 4,036 6,054 8,072 9,081 12,108 18,162 23,207 24,216 36,324 46,414 69,621 72,648 92,828 139,242 185,656 208,863 278,484 417,726 556,968 835,452 1,670,904

Collatz Trajectory (207 steps to reach 1)

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

1,670,904 835,452 417,726 208,863 626,590 313,295 939,886 469,943 1,409,830 704,915 2,114,746 1,057,373 3,172,120 1,586,060 793,030 396,515 1,189,546 594,773 1,784,320 892,160 446,080 223,040 111,520 55,760 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665

More profiles

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