λ
Harmonic Matrix

4,990,067

4990067
Deficient Odd Prime

4,990,067 has digital root 8. The neighboring primes are 4990049 and 4990091; its proper-divisor sum differs from the starting integer by -4,990,066.

Prime Factor Structure

Factorization String 4990067
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,990,068
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4990049 ← → #4990091

Radix Representation

Decimal 4990067
Binary 10011000010010001110011 (23 bits)
Octal 0o23022163
Hexadecimal 0x4C2473

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,990,067 14,970,202 7,485,101 22,455,304 11,227,652 5,613,826 2,806,913 8,420,740 4,210,370 2,105,185 6,315,556 3,157,778 1,578,889 4,736,668 2,368,334 1,184,167 3,552,502 1,776,251 5,328,754 2,664,377 7,993,132 3,996,566 1,998,283 5,994,850 2,997,425 8,992,276 4,496,138 2,248,069 6,744,208 3,372,104 1,686,052 843,026 421,513 1,264,540 632,270 316,135 948,406 474,203 1,422,610 711,305 2,133,916 1,066,958 533,479 1,600,438 800,219 2,400,658 1,200,329 3,600,988 1,800,494 900,247 2,700,742 1,350,371 4,051,114 2,025,557 6,076,672 3,038,336 1,519,168 759,584 379,792 189,896

More profiles

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