λ
Harmonic Matrix

8,760,314

2 × 4380157
Deficient Even Composite

8,760,314 has digital root 2. The neighboring primes are 8760307 and 8760331; its proper-divisor sum differs from the starting integer by -4,380,154.

Prime Factor Structure

Factorization String 2 × 4380157
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,140,474
Proper Divisor Sum 4,380,160
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8760307 ← → #8760331

Radix Representation

Decimal 8760314
Binary 100001011010101111111010 (24 bits)
Octal 0o41325772
Hexadecimal 0x85ABFA

Divisor Catalog (4)

1 2 4,380,157 8,760,314

Collatz Trajectory (199 steps to reach 1)

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

8,760,314 4,380,157 13,140,472 6,570,236 3,285,118 1,642,559 4,927,678 2,463,839 7,391,518 3,695,759 11,087,278 5,543,639 16,630,918 8,315,459 24,946,378 12,473,189 37,419,568 18,709,784 9,354,892 4,677,446 2,338,723 7,016,170 3,508,085 10,524,256 5,262,128 2,631,064 1,315,532 657,766 328,883 986,650 493,325 1,479,976 739,988 369,994 184,997 554,992 277,496 138,748 69,374 34,687 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127 333,382

More profiles

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