2,123,824

2⁴ × 132739

2,123,824 has digital root 4. The neighboring primes are 2123791 and 2123831; its proper-divisor sum differs from the starting integer by -132,708.

Prime Factor Structure

Factorization String 2^4 × 132739

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 4,114,940

Proper Divisor Sum 1,991,116

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2123791 ← → #2123831

Radix Representation

Decimal	2123824
Binary	1000000110100000110000 (22 bits)
Octal	0o10064060
Hexadecimal	0x206830

Divisor Catalog (10)

1 2 4 8 16 132,739 265,478 530,956 1,061,912 2,123,824

Collatz Trajectory (47 steps to reach 1)

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

2,123,824 1,061,912 530,956 265,478 132,739 398,218 199,109 597,328 298,664 149,332 74,666 37,333 112,000 56,000 28,000 14,000 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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