λ
Harmonic Matrix

9,148,306

2 × 4574153
Deficient Even Composite

9,148,306 has digital root 4. The neighboring primes are 9148267 and 9148309; its proper-divisor sum differs from the starting integer by -4,574,150.

Prime Factor Structure

Factorization String 2 × 4574153
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,722,462
Proper Divisor Sum 4,574,156
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9148267 ← → #9148309

Radix Representation

Decimal 9148306
Binary 100010111001011110010010 (24 bits)
Octal 0o42713622
Hexadecimal 0x8B9792

Divisor Catalog (4)

1 2 4,574,153 9,148,306

Collatz Trajectory (80 steps to reach 1)

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

9,148,306 4,574,153 13,722,460 6,861,230 3,430,615 10,291,846 5,145,923 15,437,770 7,718,885 23,156,656 11,578,328 5,789,164 2,894,582 1,447,291 4,341,874 2,170,937 6,512,812 3,256,406 1,628,203 4,884,610 2,442,305 7,326,916 3,663,458 1,831,729 5,495,188 2,747,594 1,373,797 4,121,392 2,060,696 1,030,348 515,174 257,587 772,762 386,381 1,159,144 579,572 289,786 144,893 434,680 217,340 108,670 54,335 163,006 81,503 244,510 122,255 366,766 183,383 550,150 275,075 825,226 412,613 1,237,840 618,920 309,460 154,730 77,365 232,096 116,048 58,024

More profiles

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