λ
Harmonic Matrix

5,722,756

22 × 13 × 167 × 659
Deficient Even Composite

5,722,756 has digital root 7. The neighboring primes are 5722733 and 5722757; its proper-divisor sum differs from the starting integer by -579,272.

Prime Factor Structure

Factorization String 2^2 × 13 × 167 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,866,240
Proper Divisor Sum 5,143,484
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5722733 ← → #5722757

Radix Representation

Decimal 5722756
Binary 10101110101001010000100 (23 bits)
Octal 0o25651204
Hexadecimal 0x575284

Divisor Catalog (24)

1 2 4 13 26 52 167 334 659 668 1,318 2,171 2,636 4,342 8,567 8,684 17,134 34,268 110,053 220,106 440,212 1,430,689 2,861,378 5,722,756

Collatz Trajectory (126 steps to reach 1)

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

5,722,756 2,861,378 1,430,689 4,292,068 2,146,034 1,073,017 3,219,052 1,609,526 804,763 2,414,290 1,207,145 3,621,436 1,810,718 905,359 2,716,078 1,358,039 4,074,118 2,037,059 6,111,178 3,055,589 9,166,768 4,583,384 2,291,692 1,145,846 572,923 1,718,770 859,385 2,578,156 1,289,078 644,539 1,933,618 966,809 2,900,428 1,450,214 725,107 2,175,322 1,087,661 3,262,984 1,631,492 815,746 407,873 1,223,620 611,810 305,905 917,716 458,858 229,429 688,288 344,144 172,072 86,036 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050

More profiles

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