λ
Harmonic Matrix

5,563,726

2 × 7 × 17 × 97 × 241
Deficient Even Composite

5,563,726 has digital root 7. The neighboring primes are 5563721 and 5563729; its proper-divisor sum differs from the starting integer by -882,140.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 97 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,245,312
Proper Divisor Sum 4,681,586
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5563721 ← → #5563729

Radix Representation

Decimal 5563726
Binary 10101001110010101001110 (23 bits)
Octal 0o25162516
Hexadecimal 0x54E54E

Divisor Catalog (32)

1 2 7 14 17 34 97 119 194 238 241 482 679 1,358 1,649 1,687 3,298 3,374 4,097 8,194 11,543 23,086 23,377 28,679 46,754 57,358 163,639 327,278 397,409 794,818 2,781,863 5,563,726

Collatz Trajectory (170 steps to reach 1)

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

5,563,726 2,781,863 8,345,590 4,172,795 12,518,386 6,259,193 18,777,580 9,388,790 4,694,395 14,083,186 7,041,593 21,124,780 10,562,390 5,281,195 15,843,586 7,921,793 23,765,380 11,882,690 5,941,345 17,824,036 8,912,018 4,456,009 13,368,028 6,684,014 3,342,007 10,026,022 5,013,011 15,039,034 7,519,517 22,558,552 11,279,276 5,639,638 2,819,819 8,459,458 4,229,729 12,689,188 6,344,594 3,172,297 9,516,892 4,758,446 2,379,223 7,137,670 3,568,835 10,706,506 5,353,253 16,059,760 8,029,880 4,014,940 2,007,470 1,003,735 3,011,206 1,505,603 4,516,810 2,258,405 6,775,216 3,387,608 1,693,804 846,902 423,451 1,270,354

More profiles

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