λ
Harmonic Matrix

9,318,423

3 × 1312 × 181
Deficient Odd Composite

9,318,423 has digital root 3. The neighboring primes are 9318409 and 9318443; its proper-divisor sum differs from the starting integer by -6,047,542.

Prime Factor Structure

Factorization String 3 × 131^2 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,589,304
Proper Divisor Sum 3,270,881
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9318409 ← → #9318443

Radix Representation

Decimal 9318423
Binary 100011100011000000010111 (24 bits)
Octal 0o43430027
Hexadecimal 0x8E3017

Divisor Catalog (12)

1 3 131 181 393 543 17,161 23,711 51,483 71,133 3,106,141 9,318,423

Collatz Trajectory (132 steps to reach 1)

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

9,318,423 27,955,270 13,977,635 41,932,906 20,966,453 62,899,360 31,449,680 15,724,840 7,862,420 3,931,210 1,965,605 5,896,816 2,948,408 1,474,204 737,102 368,551 1,105,654 552,827 1,658,482 829,241 2,487,724 1,243,862 621,931 1,865,794 932,897 2,798,692 1,399,346 699,673 2,099,020 1,049,510 524,755 1,574,266 787,133 2,361,400 1,180,700 590,350 295,175 885,526 442,763 1,328,290 664,145 1,992,436 996,218 498,109 1,494,328 747,164 373,582 186,791 560,374 280,187 840,562 420,281 1,260,844 630,422 315,211 945,634 472,817 1,418,452 709,226 354,613

More profiles

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