λ
Harmonic Matrix

5,622,008

23 × 7 × 100393
Abundant Even Composite

5,622,008 has digital root 5. The neighboring primes are 5622007 and 5622011; its proper-divisor sum differs from the starting integer by 803,264.

Prime Factor Structure

Factorization String 2^3 × 7 × 100393
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,047,280
Proper Divisor Sum 6,425,272
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5622007 ← → #5622011

Radix Representation

Decimal 5622008
Binary 10101011100100011111000 (23 bits)
Octal 0o25344370
Hexadecimal 0x55C8F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 100,393 200,786 401,572 702,751 803,144 1,405,502 2,811,004 5,622,008

Collatz Trajectory (157 steps to reach 1)

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

5,622,008 2,811,004 1,405,502 702,751 2,108,254 1,054,127 3,162,382 1,581,191 4,743,574 2,371,787 7,115,362 3,557,681 10,673,044 5,336,522 2,668,261 8,004,784 4,002,392 2,001,196 1,000,598 500,299 1,500,898 750,449 2,251,348 1,125,674 562,837 1,688,512 844,256 422,128 211,064 105,532 52,766 26,383 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991

More profiles

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