λ
Harmonic Matrix

5,243,884

22 × 47 × 27893
Deficient Even Composite

5,243,884 has digital root 7. The neighboring primes are 5243879 and 5243891; its proper-divisor sum differs from the starting integer by -1,115,384.

Prime Factor Structure

Factorization String 2^2 × 47 × 27893
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,372,384
Proper Divisor Sum 4,128,500
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5243879 ← → #5243891

Radix Representation

Decimal 5243884
Binary 10100000000001111101100 (23 bits)
Octal 0o24001754
Hexadecimal 0x5003EC

Divisor Catalog (12)

1 2 4 47 94 188 27,893 55,786 111,572 1,310,971 2,621,942 5,243,884

Collatz Trajectory (250 steps to reach 1)

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

5,243,884 2,621,942 1,310,971 3,932,914 1,966,457 5,899,372 2,949,686 1,474,843 4,424,530 2,212,265 6,636,796 3,318,398 1,659,199 4,977,598 2,488,799 7,466,398 3,733,199 11,199,598 5,599,799 16,799,398 8,399,699 25,199,098 12,599,549 37,798,648 18,899,324 9,449,662 4,724,831 14,174,494 7,087,247 21,261,742 10,630,871 31,892,614 15,946,307 47,838,922 23,919,461 71,758,384 35,879,192 17,939,596 8,969,798 4,484,899 13,454,698 6,727,349 20,182,048 10,091,024 5,045,512 2,522,756 1,261,378 630,689 1,892,068 946,034 473,017 1,419,052 709,526 354,763 1,064,290 532,145 1,596,436 798,218 399,109 1,197,328

More profiles

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