λ
Prime Ledger

7,112,550

2 × 3 × 52 × 47417
Abundant Even Composite

7,112,550 has the prime decomposition 2 × 3 × 5^2 × 47417. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 47417
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,639,496
Proper Divisor Sum 10,526,946
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7112531 ← → #7112551

Radix Representation

Decimal 7112550
Binary 11011001000011101100110 (23 bits)
Octal 0o33103546
Hexadecimal 0x6C8766

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 47,417 94,834 142,251 237,085 284,502 474,170 711,255 1,185,425 1,422,510 2,370,850 3,556,275 7,112,550

Collatz Trajectory (147 steps to reach 1)

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

7,112,550 3,556,275 10,668,826 5,334,413 16,003,240 8,001,620 4,000,810 2,000,405 6,001,216 3,000,608 1,500,304 750,152 375,076 187,538 93,769 281,308 140,654 70,327 210,982 105,491 316,474 158,237 474,712 237,356 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255

More profiles

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