λ
Prime Ledger

3,484,627

47 × 151 × 491
Deficient Odd Composite

3,484,627 has the prime decomposition 47 × 151 × 491. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 151 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,589,632
Proper Divisor Sum 105,005
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3484597 ← → #3484639

Radix Representation

Decimal 3484627
Binary 1101010010101111010011 (22 bits)
Octal 0o15225723
Hexadecimal 0x352BD3

Divisor Catalog (8)

1 47 151 491 7,097 23,077 74,141 3,484,627

Collatz Trajectory (177 steps to reach 1)

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

3,484,627 10,453,882 5,226,941 15,680,824 7,840,412 3,920,206 1,960,103 5,880,310 2,940,155 8,820,466 4,410,233 13,230,700 6,615,350 3,307,675 9,923,026 4,961,513 14,884,540 7,442,270 3,721,135 11,163,406 5,581,703 16,745,110 8,372,555 25,117,666 12,558,833 37,676,500 18,838,250 9,419,125 28,257,376 14,128,688 7,064,344 3,532,172 1,766,086 883,043 2,649,130 1,324,565 3,973,696 1,986,848 993,424 496,712 248,356 124,178 62,089 186,268 93,134 46,567 139,702 69,851 209,554 104,777 314,332 157,166 78,583 235,750 117,875 353,626 176,813 530,440 265,220 132,610

More profiles

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