λ
Harmonic Matrix

8,555,521

13 × 658117
Deficient Odd Composite

8,555,521 has digital root 4. The neighboring primes are 8555507 and 8555543; its proper-divisor sum differs from the starting integer by -7,897,390.

Prime Factor Structure

Factorization String 13 × 658117
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,213,652
Proper Divisor Sum 658,131
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8555507 ← → #8555543

Radix Representation

Decimal 8555521
Binary 100000101000110000000001 (24 bits)
Octal 0o40506001
Hexadecimal 0x828C01

Divisor Catalog (4)

1 13 658,117 8,555,521

Collatz Trajectory (318 steps to reach 1)

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

8,555,521 25,666,564 12,833,282 6,416,641 19,249,924 9,624,962 4,812,481 14,437,444 7,218,722 3,609,361 10,828,084 5,414,042 2,707,021 8,121,064 4,060,532 2,030,266 1,015,133 3,045,400 1,522,700 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538

More profiles

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