λ
Harmonic Matrix

3,797,693

3797693
Deficient Odd Prime

3,797,693 has digital root 8. The neighboring primes are 3797687 and 3797699; its proper-divisor sum differs from the starting integer by -3,797,692.

Prime Factor Structure

Factorization String 3797693
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,797,694
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3797687 ← → #3797699

Radix Representation

Decimal 3797693
Binary 1110011111001010111101 (22 bits)
Octal 0o16371275
Hexadecimal 0x39F2BD

Divisor Catalog (2)

Collatz Trajectory (110 steps to reach 1)

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

3,797,693 11,393,080 5,696,540 2,848,270 1,424,135 4,272,406 2,136,203 6,408,610 3,204,305 9,612,916 4,806,458 2,403,229 7,209,688 3,604,844 1,802,422 901,211 2,703,634 1,351,817 4,055,452 2,027,726 1,013,863 3,041,590 1,520,795 4,562,386 2,281,193 6,843,580 3,421,790 1,710,895 5,132,686 2,566,343 7,699,030 3,849,515 11,548,546 5,774,273 17,322,820 8,661,410 4,330,705 12,992,116 6,496,058 3,248,029 9,744,088 4,872,044 2,436,022 1,218,011 3,654,034 1,827,017 5,481,052 2,740,526 1,370,263 4,110,790 2,055,395 6,166,186 3,083,093 9,249,280 4,624,640 2,312,320 1,156,160 578,080 289,040 144,520

More profiles

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