λ
Harmonic Matrix

4,409,747

4409747
Deficient Odd Prime

4,409,747 has digital root 8. The neighboring primes are 4409737 and 4409753; its proper-divisor sum differs from the starting integer by -4,409,746.

Prime Factor Structure

Factorization String 4409747
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,409,748
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4409737 ← → #4409753

Radix Representation

Decimal 4409747
Binary 10000110100100110010011 (23 bits)
Octal 0o20644623
Hexadecimal 0x434993

Divisor Catalog (2)

1 4,409,747

Collatz Trajectory (87 steps to reach 1)

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

4,409,747 13,229,242 6,614,621 19,843,864 9,921,932 4,960,966 2,480,483 7,441,450 3,720,725 11,162,176 5,581,088 2,790,544 1,395,272 697,636 348,818 174,409 523,228 261,614 130,807 392,422 196,211 588,634 294,317 882,952 441,476 220,738 110,369 331,108 165,554 82,777 248,332 124,166 62,083 186,250 93,125 279,376 139,688 69,844 34,922 17,461 52,384 26,192 13,096 6,548 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130

More profiles

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