λ
Harmonic Matrix

3,740,567

3740567
Deficient Odd Prime

3,740,567 has digital root 5. The neighboring primes are 3740557 and 3740573; its proper-divisor sum differs from the starting integer by -3,740,566.

Prime Factor Structure

Factorization String 3740567
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,740,568
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3740557 ← → #3740573

Radix Representation

Decimal 3740567
Binary 1110010001001110010111 (22 bits)
Octal 0o16211627
Hexadecimal 0x391397

Divisor Catalog (2)

Collatz Trajectory (203 steps to reach 1)

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

3,740,567 11,221,702 5,610,851 16,832,554 8,416,277 25,248,832 12,624,416 6,312,208 3,156,104 1,578,052 789,026 394,513 1,183,540 591,770 295,885 887,656 443,828 221,914 110,957 332,872 166,436 83,218 41,609 124,828 62,414 31,207 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955

More profiles

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