λ
Prime Ledger

6,216,175

52 × 7 × 35521
Deficient Odd Composite

6,216,175 has the prime decomposition 5^2 × 7 × 35521. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 35521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,809,456
Proper Divisor Sum 2,593,281
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6216149 ← → #6216191

Radix Representation

Decimal 6216175
Binary 10111101101100111101111 (23 bits)
Octal 0o27554757
Hexadecimal 0x5ED9EF

Divisor Catalog (12)

1 5 7 25 35 175 35,521 177,605 248,647 888,025 1,243,235 6,216,175

Collatz Trajectory (258 steps to reach 1)

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

6,216,175 18,648,526 9,324,263 27,972,790 13,986,395 41,959,186 20,979,593 62,938,780 31,469,390 15,734,695 47,204,086 23,602,043 70,806,130 35,403,065 106,209,196 53,104,598 26,552,299 79,656,898 39,828,449 119,485,348 59,742,674 29,871,337 89,614,012 44,807,006 22,403,503 67,210,510 33,605,255 100,815,766 50,407,883 151,223,650 75,611,825 226,835,476 113,417,738 56,708,869 170,126,608 85,063,304 42,531,652 21,265,826 10,632,913 31,898,740 15,949,370 7,974,685 23,924,056 11,962,028 5,981,014 2,990,507 8,971,522 4,485,761 13,457,284 6,728,642 3,364,321 10,092,964 5,046,482 2,523,241 7,569,724 3,784,862 1,892,431 5,677,294 2,838,647 8,515,942

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