λ
Prime Ledger

8,424,745

5 × 7 × 240707
Deficient Odd Composite

8,424,745 has the prime decomposition 5 × 7 × 240707. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 240707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,553,984
Proper Divisor Sum 3,129,239
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8424727 ← → #8424763

Radix Representation

Decimal 8424745
Binary 100000001000110100101001 (24 bits)
Octal 0o40106451
Hexadecimal 0x808D29

Divisor Catalog (8)

1 5 7 35 240,707 1,203,535 1,684,949 8,424,745

Collatz Trajectory (155 steps to reach 1)

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

8,424,745 25,274,236 12,637,118 6,318,559 18,955,678 9,477,839 28,433,518 14,216,759 42,650,278 21,325,139 63,975,418 31,987,709 95,963,128 47,981,564 23,990,782 11,995,391 35,986,174 17,993,087 53,979,262 26,989,631 80,968,894 40,484,447 121,453,342 60,726,671 182,180,014 91,090,007 273,270,022 136,635,011 409,905,034 204,952,517 614,857,552 307,428,776 153,714,388 76,857,194 38,428,597 115,285,792 57,642,896 28,821,448 14,410,724 7,205,362 3,602,681 10,808,044 5,404,022 2,702,011 8,106,034 4,053,017 12,159,052 6,079,526 3,039,763 9,119,290 4,559,645 13,678,936 6,839,468 3,419,734 1,709,867 5,129,602 2,564,801 7,694,404 3,847,202 1,923,601

More profiles

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