λ
Harmonic Matrix

918,546

2 × 3 × 29 × 5279
Abundant Even Composite

918,546 has digital root 6. The neighboring primes are 918539 and 918563; its proper-divisor sum differs from the starting integer by 63,708.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 5279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,900,800
Proper Divisor Sum 982,254
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #918539 ← → #918563

Radix Representation

Decimal 918546
Binary 11100000010000010010 (20 bits)
Octal 0o3402022
Hexadecimal 0xE0412

Divisor Catalog (16)

1 2 3 6 29 58 87 174 5,279 10,558 15,837 31,674 153,091 306,182 459,273 918,546

Collatz Trajectory (232 steps to reach 1)

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

918,546 459,273 1,377,820 688,910 344,455 1,033,366 516,683 1,550,050 775,025 2,325,076 1,162,538 581,269 1,743,808 871,904 435,952 217,976 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958

More profiles

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