λ
Harmonic Matrix

8,516,993

37 × 230189
Deficient Odd Composite

8,516,993 has digital root 5. The neighboring primes are 8516987 and 8517023; its proper-divisor sum differs from the starting integer by -8,286,766.

Prime Factor Structure

Factorization String 37 × 230189
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,747,220
Proper Divisor Sum 230,227
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8516987 ← → #8517023

Radix Representation

Decimal 8516993
Binary 100000011111010110000001 (24 bits)
Octal 0o40372601
Hexadecimal 0x81F581

Divisor Catalog (4)

1 37 230,189 8,516,993

Collatz Trajectory (98 steps to reach 1)

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

8,516,993 25,550,980 12,775,490 6,387,745 19,163,236 9,581,618 4,790,809 14,372,428 7,186,214 3,593,107 10,779,322 5,389,661 16,168,984 8,084,492 4,042,246 2,021,123 6,063,370 3,031,685 9,095,056 4,547,528 2,273,764 1,136,882 568,441 1,705,324 852,662 426,331 1,278,994 639,497 1,918,492 959,246 479,623 1,438,870 719,435 2,158,306 1,079,153 3,237,460 1,618,730 809,365 2,428,096 1,214,048 607,024 303,512 151,756 75,878 37,939 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004

More profiles

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