λ
Harmonic Matrix

372,162

2 × 3 × 7 × 8861
Abundant Even Composite

372,162 has digital root 3. The neighboring primes are 372149 and 372167; its proper-divisor sum differs from the starting integer by 106,428.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 8861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 850,752
Proper Divisor Sum 478,590
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #372149 ← → #372167

Radix Representation

Decimal 372162
Binary 1011010110111000010 (19 bits)
Octal 0o1326702
Hexadecimal 0x5ADC2

Divisor Catalog (16)

1 2 3 6 7 14 21 42 8,861 17,722 26,583 53,166 62,027 124,054 186,081 372,162

Collatz Trajectory (135 steps to reach 1)

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

372,162 186,081 558,244 279,122 139,561 418,684 209,342 104,671 314,014 157,007 471,022 235,511 706,534 353,267 1,059,802 529,901 1,589,704 794,852 397,426 198,713 596,140 298,070 149,035 447,106 223,553 670,660 335,330 167,665 502,996 251,498 125,749 377,248 188,624 94,312 47,156 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395

More profiles

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