λ
Harmonic Matrix

4,694,791

4694791
Deficient Odd Prime

4,694,791 has digital root 4. The neighboring primes are 4694779 and 4694797; its proper-divisor sum differs from the starting integer by -4,694,790.

Prime Factor Structure

Factorization String 4694791
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,694,792
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4694779 ← → #4694797

Radix Representation

Decimal 4694791
Binary 10001111010001100000111 (23 bits)
Octal 0o21721407
Hexadecimal 0x47A307

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,694,791 14,084,374 7,042,187 21,126,562 10,563,281 31,689,844 15,844,922 7,922,461 23,767,384 11,883,692 5,941,846 2,970,923 8,912,770 4,456,385 13,369,156 6,684,578 3,342,289 10,026,868 5,013,434 2,506,717 7,520,152 3,760,076 1,880,038 940,019 2,820,058 1,410,029 4,230,088 2,115,044 1,057,522 528,761 1,586,284 793,142 396,571 1,189,714 594,857 1,784,572 892,286 446,143 1,338,430 669,215 2,007,646 1,003,823 3,011,470 1,505,735 4,517,206 2,258,603 6,775,810 3,387,905 10,163,716 5,081,858 2,540,929 7,622,788 3,811,394 1,905,697 5,717,092 2,858,546 1,429,273 4,287,820 2,143,910 1,071,955

More profiles

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