λ
Harmonic Matrix

1,858,008

23 × 3 × 77417
Abundant Even Composite

1,858,008 has digital root 3. The neighboring primes are 1858007 and 1858033; its proper-divisor sum differs from the starting integer by 929,064.

Prime Factor Structure

Factorization String 2^3 × 3 × 77417
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,645,080
Proper Divisor Sum 2,787,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1858007 ← → #1858033

Radix Representation

Decimal 1858008
Binary 111000101100111011000 (21 bits)
Octal 0o7054730
Hexadecimal 0x1C59D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 77,417 154,834 232,251 309,668 464,502 619,336 929,004 1,858,008

Collatz Trajectory (78 steps to reach 1)

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

1,858,008 929,004 464,502 232,251 696,754 348,377 1,045,132 522,566 261,283 783,850 391,925 1,175,776 587,888 293,944 146,972 73,486 36,743 110,230 55,115 165,346 82,673 248,020 124,010 62,005 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56

More profiles

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