λ
Harmonic Matrix

8,046,751

8046751
Deficient Odd Prime

8,046,751 has digital root 4. The neighboring primes are 8046743 and 8046761; its proper-divisor sum differs from the starting integer by -8,046,750.

Prime Factor Structure

Factorization String 8046751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,046,752
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8046743 ← → #8046761

Radix Representation

Decimal 8046751
Binary 11110101100100010011111 (23 bits)
Octal 0o36544237
Hexadecimal 0x7AC89F

Divisor Catalog (2)

Collatz Trajectory (398 steps to reach 1)

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

8,046,751 24,140,254 12,070,127 36,210,382 18,105,191 54,315,574 27,157,787 81,473,362 40,736,681 122,210,044 61,105,022 30,552,511 91,657,534 45,828,767 137,486,302 68,743,151 206,229,454 103,114,727 309,344,182 154,672,091 464,016,274 232,008,137 696,024,412 348,012,206 174,006,103 522,018,310 261,009,155 783,027,466 391,513,733 1,174,541,200 587,270,600 293,635,300 146,817,650 73,408,825 220,226,476 110,113,238 55,056,619 165,169,858 82,584,929 247,754,788 123,877,394 61,938,697 185,816,092 92,908,046 46,454,023 139,362,070 69,681,035 209,043,106 104,521,553 313,564,660 156,782,330 78,391,165 235,173,496 117,586,748 58,793,374 29,396,687 88,190,062 44,095,031 132,285,094 66,142,547

More profiles

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