λ
Harmonic Matrix

9,018,854

2 × 132 × 26683
Deficient Even Composite

9,018,854 has digital root 8. The neighboring primes are 9018853 and 9018871; its proper-divisor sum differs from the starting integer by -3,388,192.

Prime Factor Structure

Factorization String 2 × 13^2 × 26683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,649,516
Proper Divisor Sum 5,630,662
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9018853 ← → #9018871

Radix Representation

Decimal 9018854
Binary 100010011001110111100110 (24 bits)
Octal 0o42316746
Hexadecimal 0x899DE6

Divisor Catalog (12)

1 2 13 26 169 338 26,683 53,366 346,879 693,758 4,509,427 9,018,854

Collatz Trajectory (111 steps to reach 1)

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

9,018,854 4,509,427 13,528,282 6,764,141 20,292,424 10,146,212 5,073,106 2,536,553 7,609,660 3,804,830 1,902,415 5,707,246 2,853,623 8,560,870 4,280,435 12,841,306 6,420,653 19,261,960 9,630,980 4,815,490 2,407,745 7,223,236 3,611,618 1,805,809 5,417,428 2,708,714 1,354,357 4,063,072 2,031,536 1,015,768 507,884 253,942 126,971 380,914 190,457 571,372 285,686 142,843 428,530 214,265 642,796 321,398 160,699 482,098 241,049 723,148 361,574 180,787 542,362 271,181 813,544 406,772 203,386 101,693 305,080 152,540 76,270 38,135 114,406 57,203

More profiles

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