λ
Harmonic Matrix

5,324,162

2 × 17 × 156593
Deficient Even Composite

5,324,162 has digital root 5. The neighboring primes are 5324159 and 5324171; its proper-divisor sum differs from the starting integer by -2,192,248.

Prime Factor Structure

Factorization String 2 × 17 × 156593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,456,076
Proper Divisor Sum 3,131,914
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5324159 ← → #5324171

Radix Representation

Decimal 5324162
Binary 10100010011110110000010 (23 bits)
Octal 0o24236602
Hexadecimal 0x513D82

Divisor Catalog (8)

1 2 17 34 156,593 313,186 2,662,081 5,324,162

Collatz Trajectory (232 steps to reach 1)

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

5,324,162 2,662,081 7,986,244 3,993,122 1,996,561 5,989,684 2,994,842 1,497,421 4,492,264 2,246,132 1,123,066 561,533 1,684,600 842,300 421,150 210,575 631,726 315,863 947,590 473,795 1,421,386 710,693 2,132,080 1,066,040 533,020 266,510 133,255 399,766 199,883 599,650 299,825 899,476 449,738 224,869 674,608 337,304 168,652 84,326 42,163 126,490 63,245 189,736 94,868 47,434 23,717 71,152 35,576 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776

More profiles

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