λ
Prime Ledger

8,764,250

2 × 53 × 11 × 3187
Abundant Even Composite

8,764,250 has the prime decomposition 2 × 5^3 × 11 × 3187. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 3187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,903,808
Proper Divisor Sum 9,139,558
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8764247 ← → #8764253

Radix Representation

Decimal 8764250
Binary 100001011011101101011010 (24 bits)
Octal 0o41335532
Hexadecimal 0x85BB5A

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 550 1,375 2,750 3,187 6,374 15,935 31,870 35,057 70,114 79,675 159,350 175,285 350,570 398,375 796,750 876,425 1,752,850 4,382,125 8,764,250

Collatz Trajectory (199 steps to reach 1)

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

8,764,250 4,382,125 13,146,376 6,573,188 3,286,594 1,643,297 4,929,892 2,464,946 1,232,473 3,697,420 1,848,710 924,355 2,773,066 1,386,533 4,159,600 2,079,800 1,039,900 519,950 259,975 779,926 389,963 1,169,890 584,945 1,754,836 877,418 438,709 1,316,128 658,064 329,032 164,516 82,258 41,129 123,388 61,694 30,847 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179 333,538

More profiles

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