λ
Prime Ledger

3,710,310

2 × 3 × 5 × 123677
Abundant Even Composite

3,710,310 has the prime decomposition 2 × 3 × 5 × 123677. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 123677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,904,816
Proper Divisor Sum 5,194,506
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3710303 ← → #3710387

Radix Representation

Decimal 3710310
Binary 1110001001110101100110 (22 bits)
Octal 0o16116546
Hexadecimal 0x389D66

Divisor Catalog (16)

1 2 3 5 6 10 15 30 123,677 247,354 371,031 618,385 742,062 1,236,770 1,855,155 3,710,310

Collatz Trajectory (185 steps to reach 1)

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

3,710,310 1,855,155 5,565,466 2,782,733 8,348,200 4,174,100 2,087,050 1,043,525 3,130,576 1,565,288 782,644 391,322 195,661 586,984 293,492 146,746 73,373 220,120 110,060 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542

More profiles

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