λ
Harmonic Matrix

8,588,983

13 × 61 × 10831
Deficient Odd Composite

8,588,983 has digital root 4. The neighboring primes are 8588971 and 8589001; its proper-divisor sum differs from the starting integer by -7,775,790.

Prime Factor Structure

Factorization String 13 × 61 × 10831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,402,176
Proper Divisor Sum 813,193
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8588971 ← → #8589001

Radix Representation

Decimal 8588983
Binary 100000110000111010110111 (24 bits)
Octal 0o40607267
Hexadecimal 0x830EB7

Divisor Catalog (8)

1 13 61 793 10,831 140,803 660,691 8,588,983

Collatz Trajectory (168 steps to reach 1)

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

8,588,983 25,766,950 12,883,475 38,650,426 19,325,213 57,975,640 28,987,820 14,493,910 7,246,955 21,740,866 10,870,433 32,611,300 16,305,650 8,152,825 24,458,476 12,229,238 6,114,619 18,343,858 9,171,929 27,515,788 13,757,894 6,878,947 20,636,842 10,318,421 30,955,264 15,477,632 7,738,816 3,869,408 1,934,704 967,352 483,676 241,838 120,919 362,758 181,379 544,138 272,069 816,208 408,104 204,052 102,026 51,013 153,040 76,520 38,260 19,130 9,565 28,696 14,348 7,174 3,587 10,762 5,381 16,144 8,072 4,036 2,018 1,009 3,028 1,514

More profiles

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