λ
Harmonic Matrix

2,249,012

22 × 241 × 2333
Deficient Even Composite

2,249,012 has digital root 2. The neighboring primes are 2248999 and 2249053; its proper-divisor sum differs from the starting integer by -544,228.

Prime Factor Structure

Factorization String 2^2 × 241 × 2333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,953,796
Proper Divisor Sum 1,704,784
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2248999 ← → #2249053

Radix Representation

Decimal 2249012
Binary 1000100101000100110100 (22 bits)
Octal 0o10450464
Hexadecimal 0x225134

Divisor Catalog (12)

1 2 4 241 482 964 2,333 4,666 9,332 562,253 1,124,506 2,249,012

Collatz Trajectory (179 steps to reach 1)

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

2,249,012 1,124,506 562,253 1,686,760 843,380 421,690 210,845 632,536 316,268 158,134 79,067 237,202 118,601 355,804 177,902 88,951 266,854 133,427 400,282 200,141 600,424 300,212 150,106 75,053 225,160 112,580 56,290 28,145 84,436 42,218 21,109 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

More profiles

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