λ
Prime Ledger

8,464,743

34 × 7 × 14929
Deficient Odd Composite

8,464,743 has the prime decomposition 3^4 × 7 × 14929. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 7 × 14929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,452,240
Proper Divisor Sum 5,987,497
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8464741 ← → #8464763

Radix Representation

Decimal 8464743
Binary 100000010010100101100111 (24 bits)
Octal 0o40224547
Hexadecimal 0x812967

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 14,929 44,787 104,503 134,361 313,509 403,083 940,527 1,209,249 2,821,581 8,464,743

Collatz Trajectory (181 steps to reach 1)

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

8,464,743 25,394,230 12,697,115 38,091,346 19,045,673 57,137,020 28,568,510 14,284,255 42,852,766 21,426,383 64,279,150 32,139,575 96,418,726 48,209,363 144,628,090 72,314,045 216,942,136 108,471,068 54,235,534 27,117,767 81,353,302 40,676,651 122,029,954 61,014,977 183,044,932 91,522,466 45,761,233 137,283,700 68,641,850 34,320,925 102,962,776 51,481,388 25,740,694 12,870,347 38,611,042 19,305,521 57,916,564 28,958,282 14,479,141 43,437,424 21,718,712 10,859,356 5,429,678 2,714,839 8,144,518 4,072,259 12,216,778 6,108,389 18,325,168 9,162,584 4,581,292 2,290,646 1,145,323 3,435,970 1,717,985 5,153,956 2,576,978 1,288,489 3,865,468 1,932,734

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