λ
Harmonic Matrix

8,460,718

2 × 7 × 59 × 10243
Deficient Even Composite

8,460,718 has digital root 7. The neighboring primes are 8460707 and 8460731; its proper-divisor sum differs from the starting integer by -2,170,076.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 10243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,751,360
Proper Divisor Sum 6,290,642
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8460707 ← → #8460731

Radix Representation

Decimal 8460718
Binary 100000010001100110101110 (24 bits)
Octal 0o40214656
Hexadecimal 0x8119AE

Divisor Catalog (16)

1 2 7 14 59 118 413 826 10,243 20,486 71,701 143,402 604,337 1,208,674 4,230,359 8,460,718

Collatz Trajectory (106 steps to reach 1)

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

8,460,718 4,230,359 12,691,078 6,345,539 19,036,618 9,518,309 28,554,928 14,277,464 7,138,732 3,569,366 1,784,683 5,354,050 2,677,025 8,031,076 4,015,538 2,007,769 6,023,308 3,011,654 1,505,827 4,517,482 2,258,741 6,776,224 3,388,112 1,694,056 847,028 423,514 211,757 635,272 317,636 158,818 79,409 238,228 119,114 59,557 178,672 89,336 44,668 22,334 11,167 33,502 16,751 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945

More profiles

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