λ
Harmonic Matrix

3,484,267

3484267
Deficient Odd Prime

3,484,267 has digital root 7. The neighboring primes are 3484249 and 3484279; its proper-divisor sum differs from the starting integer by -3,484,266.

Prime Factor Structure

Factorization String 3484267
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,484,268
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3484249 ← → #3484279

Radix Representation

Decimal 3484267
Binary 1101010010101001101011 (22 bits)
Octal 0o15225153
Hexadecimal 0x352A6B

Divisor Catalog (2)

Collatz Trajectory (177 steps to reach 1)

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

3,484,267 10,452,802 5,226,401 15,679,204 7,839,602 3,919,801 11,759,404 5,879,702 2,939,851 8,819,554 4,409,777 13,229,332 6,614,666 3,307,333 9,922,000 4,961,000 2,480,500 1,240,250 620,125 1,860,376 930,188 465,094 232,547 697,642 348,821 1,046,464 523,232 261,616 130,808 65,404 32,702 16,351 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103

More profiles

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