λ
Harmonic Matrix

612,162

2 × 32 × 71 × 479
Abundant Even Composite

612,162 has digital root 9. The neighboring primes are 612149 and 612169; its proper-divisor sum differs from the starting integer by 123,516.

Prime Factor Structure

Factorization String 2 × 3^2 × 71 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,347,840
Proper Divisor Sum 735,678
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #612149 ← → #612169

Radix Representation

Decimal 612162
Binary 10010101011101000010 (20 bits)
Octal 0o2253502
Hexadecimal 0x95742

Divisor Catalog (24)

1 2 3 6 9 18 71 142 213 426 479 639 958 1,278 1,437 2,874 4,311 8,622 34,009 68,018 102,027 204,054 306,081 612,162

Collatz Trajectory (66 steps to reach 1)

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

612,162 306,081 918,244 459,122 229,561 688,684 344,342 172,171 516,514 258,257 774,772 387,386 193,693 581,080 290,540 145,270 72,635 217,906 108,953 326,860 163,430 81,715 245,146 122,573 367,720 183,860 91,930 45,965 137,896 68,948 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

More profiles

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