λ
Harmonic Matrix

4,477,706

2 × 503 × 4451
Deficient Even Composite

4,477,706 has digital root 8. The neighboring primes are 4477691 and 4477717; its proper-divisor sum differs from the starting integer by -2,223,988.

Prime Factor Structure

Factorization String 2 × 503 × 4451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,731,424
Proper Divisor Sum 2,253,718
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4477691 ← → #4477717

Radix Representation

Decimal 4477706
Binary 10001000101001100001010 (23 bits)
Octal 0o21051412
Hexadecimal 0x44530A

Divisor Catalog (8)

1 2 503 1,006 4,451 8,902 2,238,853 4,477,706

Collatz Trajectory (61 steps to reach 1)

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

4,477,706 2,238,853 6,716,560 3,358,280 1,679,140 839,570 419,785 1,259,356 629,678 314,839 944,518 472,259 1,416,778 708,389 2,125,168 1,062,584 531,292 265,646 132,823 398,470 199,235 597,706 298,853 896,560 448,280 224,140 112,070 56,035 168,106 84,053 252,160 126,080 63,040 31,520 15,760 7,880 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

More profiles

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