λ
Harmonic Matrix

3,610,706

2 × 11 × 41 × 4003
Deficient Even Composite

3,610,706 has digital root 5. The neighboring primes are 3610699 and 3610709; its proper-divisor sum differs from the starting integer by -1,167,364.

Prime Factor Structure

Factorization String 2 × 11 × 41 × 4003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,054,048
Proper Divisor Sum 2,443,342
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3610699 ← → #3610709

Radix Representation

Decimal 3610706
Binary 1101110001100001010010 (22 bits)
Octal 0o15614122
Hexadecimal 0x371852

Divisor Catalog (16)

1 2 11 22 41 82 451 902 4,003 8,006 44,033 88,066 164,123 328,246 1,805,353 3,610,706

Collatz Trajectory (265 steps to reach 1)

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

3,610,706 1,805,353 5,416,060 2,708,030 1,354,015 4,062,046 2,031,023 6,093,070 3,046,535 9,139,606 4,569,803 13,709,410 6,854,705 20,564,116 10,282,058 5,141,029 15,423,088 7,711,544 3,855,772 1,927,886 963,943 2,891,830 1,445,915 4,337,746 2,168,873 6,506,620 3,253,310 1,626,655 4,879,966 2,439,983 7,319,950 3,659,975 10,979,926 5,489,963 16,469,890 8,234,945 24,704,836 12,352,418 6,176,209 18,528,628 9,264,314 4,632,157 13,896,472 6,948,236 3,474,118 1,737,059 5,211,178 2,605,589 7,816,768 3,908,384 1,954,192 977,096 488,548 244,274 122,137 366,412 183,206 91,603 274,810 137,405

More profiles

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