λ
Harmonic Matrix

4,408,755

3 × 5 × 13 × 23 × 983
Deficient Odd Composite

4,408,755 has digital root 6. The neighboring primes are 4408739 and 4408757; its proper-divisor sum differs from the starting integer by -882,534.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 23 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,934,976
Proper Divisor Sum 3,526,221
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4408739 ← → #4408757

Radix Representation

Decimal 4408755
Binary 10000110100010110110011 (23 bits)
Octal 0o20642663
Hexadecimal 0x4345B3

Divisor Catalog (32)

1 3 5 13 15 23 39 65 69 115 195 299 345 897 983 1,495 2,949 4,485 4,915 12,779 14,745 22,609 38,337 63,895 67,827 113,045 191,685 293,917 339,135 881,751 1,469,585 4,408,755

Collatz Trajectory (180 steps to reach 1)

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

4,408,755 13,226,266 6,613,133 19,839,400 9,919,700 4,959,850 2,479,925 7,439,776 3,719,888 1,859,944 929,972 464,986 232,493 697,480 348,740 174,370 87,185 261,556 130,778 65,389 196,168 98,084 49,042 24,521 73,564 36,782 18,391 55,174 27,587 82,762 41,381 124,144 62,072 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778

More profiles

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