λ
Harmonic Matrix

8,918,063

7 × 112 × 10529
Deficient Odd Composite

8,918,063 has digital root 8. The neighboring primes are 8918059 and 8918069; its proper-divisor sum differs from the starting integer by -6,632,206.

Prime Factor Structure

Factorization String 7 × 11^2 × 10529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,203,920
Proper Divisor Sum 2,285,857
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8918059 ← → #8918069

Radix Representation

Decimal 8918063
Binary 100010000001010000101111 (24 bits)
Octal 0o42012057
Hexadecimal 0x88142F

Divisor Catalog (12)

1 7 11 77 121 847 10,529 73,703 115,819 810,733 1,274,009 8,918,063

Collatz Trajectory (318 steps to reach 1)

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

8,918,063 26,754,190 13,377,095 40,131,286 20,065,643 60,196,930 30,098,465 90,295,396 45,147,698 22,573,849 67,721,548 33,860,774 16,930,387 50,791,162 25,395,581 76,186,744 38,093,372 19,046,686 9,523,343 28,570,030 14,285,015 42,855,046 21,427,523 64,282,570 32,141,285 96,423,856 48,211,928 24,105,964 12,052,982 6,026,491 18,079,474 9,039,737 27,119,212 13,559,606 6,779,803 20,339,410 10,169,705 30,509,116 15,254,558 7,627,279 22,881,838 11,440,919 34,322,758 17,161,379 51,484,138 25,742,069 77,226,208 38,613,104 19,306,552 9,653,276 4,826,638 2,413,319 7,239,958 3,619,979 10,859,938 5,429,969 16,289,908 8,144,954 4,072,477 12,217,432

More profiles

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