λ
Harmonic Matrix

4,140,797

59 × 70183
Deficient Odd Composite

4,140,797 has digital root 5. The neighboring primes are 4140769 and 4140811; its proper-divisor sum differs from the starting integer by -4,070,554.

Prime Factor Structure

Factorization String 59 × 70183
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,211,040
Proper Divisor Sum 70,243
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4140769 ← → #4140811

Radix Representation

Decimal 4140797
Binary 1111110010111011111101 (22 bits)
Octal 0o17627375
Hexadecimal 0x3F2EFD

Divisor Catalog (4)

1 59 70,183 4,140,797

Collatz Trajectory (136 steps to reach 1)

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

4,140,797 12,422,392 6,211,196 3,105,598 1,552,799 4,658,398 2,329,199 6,987,598 3,493,799 10,481,398 5,240,699 15,722,098 7,861,049 23,583,148 11,791,574 5,895,787 17,687,362 8,843,681 26,531,044 13,265,522 6,632,761 19,898,284 9,949,142 4,974,571 14,923,714 7,461,857 22,385,572 11,192,786 5,596,393 16,789,180 8,394,590 4,197,295 12,591,886 6,295,943 18,887,830 9,443,915 28,331,746 14,165,873 42,497,620 21,248,810 10,624,405 31,873,216 15,936,608 7,968,304 3,984,152 1,992,076 996,038 498,019 1,494,058 747,029 2,241,088 1,120,544 560,272 280,136 140,068 70,034 35,017 105,052 52,526 26,263

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