λ
Sequence Observatory

8,004,805

5 × 23 × 47 × 1481
Deficient Odd Composite

Starting at 8,004,805, the Collatz iteration reaches 1 after 142 steps. The first transition is 24014416; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 23 × 47 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,243,584
Proper Divisor Sum 2,238,779
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8004803 ← → #8004817

Radix Representation

Decimal 8004805
Binary 11110100010010011000101 (23 bits)
Octal 0o36422305
Hexadecimal 0x7A24C5

Divisor Catalog (16)

1 5 23 47 115 235 1,081 1,481 5,405 7,405 34,063 69,607 170,315 348,035 1,600,961 8,004,805

Collatz Trajectory (142 steps to reach 1)

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

8,004,805 24,014,416 12,007,208 6,003,604 3,001,802 1,500,901 4,502,704 2,251,352 1,125,676 562,838 281,419 844,258 422,129 1,266,388 633,194 316,597 949,792 474,896 237,448 118,724 59,362 29,681 89,044 44,522 22,261 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

More profiles

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