λ
Prime Ledger

7,485,080

23 × 5 × 187127
Abundant Even Composite

7,485,080 has the prime decomposition 2^3 × 5 × 187127. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 187127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,841,520
Proper Divisor Sum 9,356,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7485077 ← → #7485089

Radix Representation

Decimal 7485080
Binary 11100100011011010011000 (23 bits)
Octal 0o34433230
Hexadecimal 0x723698

Divisor Catalog (16)

1 2 4 5 8 10 20 40 187,127 374,254 748,508 935,635 1,497,016 1,871,270 3,742,540 7,485,080

Collatz Trajectory (173 steps to reach 1)

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

7,485,080 3,742,540 1,871,270 935,635 2,806,906 1,403,453 4,210,360 2,105,180 1,052,590 526,295 1,578,886 789,443 2,368,330 1,184,165 3,552,496 1,776,248 888,124 444,062 222,031 666,094 333,047 999,142 499,571 1,498,714 749,357 2,248,072 1,124,036 562,018 281,009 843,028 421,514 210,757 632,272 316,136 158,068 79,034 39,517 118,552 59,276 29,638 14,819 44,458 22,229 66,688 33,344 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322

More profiles

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