λ
Harmonic Matrix

5,027,824

24 × 314239
Deficient Even Composite

5,027,824 has digital root 1. The neighboring primes are 5027821 and 5027833; its proper-divisor sum differs from the starting integer by -314,208.

Prime Factor Structure

Factorization String 2^4 × 314239
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 9,741,440
Proper Divisor Sum 4,713,616
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5027821 ← → #5027833

Radix Representation

Decimal 5027824
Binary 10011001011011111110000 (23 bits)
Octal 0o23133760
Hexadecimal 0x4CB7F0

Divisor Catalog (10)

1 2 4 8 16 314,239 628,478 1,256,956 2,513,912 5,027,824

Collatz Trajectory (113 steps to reach 1)

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

5,027,824 2,513,912 1,256,956 628,478 314,239 942,718 471,359 1,414,078 707,039 2,121,118 1,060,559 3,181,678 1,590,839 4,772,518 2,386,259 7,158,778 3,579,389 10,738,168 5,369,084 2,684,542 1,342,271 4,026,814 2,013,407 6,040,222 3,020,111 9,060,334 4,530,167 13,590,502 6,795,251 20,385,754 10,192,877 30,578,632 15,289,316 7,644,658 3,822,329 11,466,988 5,733,494 2,866,747 8,600,242 4,300,121 12,900,364 6,450,182 3,225,091 9,675,274 4,837,637 14,512,912 7,256,456 3,628,228 1,814,114 907,057 2,721,172 1,360,586 680,293 2,040,880 1,020,440 510,220 255,110 127,555 382,666 191,333

More profiles

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