λ
Harmonic Matrix

8,204,741

8204741
Deficient Odd Prime

8,204,741 has digital root 8. The neighboring primes are 8204737 and 8204747; its proper-divisor sum differs from the starting integer by -8,204,740.

Prime Factor Structure

Factorization String 8204741
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,204,742
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8204737 ← → #8204747

Radix Representation

Decimal 8204741
Binary 11111010011000111000101 (23 bits)
Octal 0o37230705
Hexadecimal 0x7D31C5

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

8,204,741 24,614,224 12,307,112 6,153,556 3,076,778 1,538,389 4,615,168 2,307,584 1,153,792 576,896 288,448 144,224 72,112 36,056 18,028 9,014 4,507 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680

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