λ
Harmonic Matrix

4,822,622

2 × 7 × 43 × 8011
Deficient Even Composite

4,822,622 has digital root 8. The neighboring primes are 4822621 and 4822627; its proper-divisor sum differs from the starting integer by -1,184,572.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 8011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,460,672
Proper Divisor Sum 3,638,050
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4822621 ← → #4822627

Radix Representation

Decimal 4822622
Binary 10010011001011001011110 (23 bits)
Octal 0o22313136
Hexadecimal 0x49965E

Divisor Catalog (16)

1 2 7 14 43 86 301 602 8,011 16,022 56,077 112,154 344,473 688,946 2,411,311 4,822,622

Collatz Trajectory (131 steps to reach 1)

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

4,822,622 2,411,311 7,233,934 3,616,967 10,850,902 5,425,451 16,276,354 8,138,177 24,414,532 12,207,266 6,103,633 18,310,900 9,155,450 4,577,725 13,733,176 6,866,588 3,433,294 1,716,647 5,149,942 2,574,971 7,724,914 3,862,457 11,587,372 5,793,686 2,896,843 8,690,530 4,345,265 13,035,796 6,517,898 3,258,949 9,776,848 4,888,424 2,444,212 1,222,106 611,053 1,833,160 916,580 458,290 229,145 687,436 343,718 171,859 515,578 257,789 773,368 386,684 193,342 96,671 290,014 145,007 435,022 217,511 652,534 326,267 978,802 489,401 1,468,204 734,102 367,051 1,101,154

More profiles

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