λ
Harmonic Matrix

9,158,331

3 × 7 × 13 × 33547
Deficient Odd Composite

9,158,331 has digital root 3. The neighboring primes are 9158329 and 9158339; its proper-divisor sum differs from the starting integer by -3,287,158.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 33547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,029,504
Proper Divisor Sum 5,871,173
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9158329 ← → #9158339

Radix Representation

Decimal 9158331
Binary 100010111011111010111011 (24 bits)
Octal 0o42737273
Hexadecimal 0x8BBEBB

Divisor Catalog (16)

1 3 7 13 21 39 91 273 33,547 100,641 234,829 436,111 704,487 1,308,333 3,052,777 9,158,331

Collatz Trajectory (132 steps to reach 1)

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

9,158,331 27,474,994 13,737,497 41,212,492 20,606,246 10,303,123 30,909,370 15,454,685 46,364,056 23,182,028 11,591,014 5,795,507 17,386,522 8,693,261 26,079,784 13,039,892 6,519,946 3,259,973 9,779,920 4,889,960 2,444,980 1,222,490 611,245 1,833,736 916,868 458,434 229,217 687,652 343,826 171,913 515,740 257,870 128,935 386,806 193,403 580,210 290,105 870,316 435,158 217,579 652,738 326,369 979,108 489,554 244,777 734,332 367,166 183,583 550,750 275,375 826,126 413,063 1,239,190 619,595 1,858,786 929,393 2,788,180 1,394,090 697,045 2,091,136

More profiles

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