λ
Harmonic Matrix

150,946

2 × 71 × 1063
Deficient Even Composite

150,946 has digital root 7. The neighboring primes are 150929 and 150959; its proper-divisor sum differs from the starting integer by -72,068.

Prime Factor Structure

Factorization String 2 × 71 × 1063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 229,824
Proper Divisor Sum 78,878
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #150929 ← → #150959

Radix Representation

Decimal 150946
Binary 100100110110100010 (18 bits)
Octal 0o446642
Hexadecimal 0x24DA2

Divisor Catalog (8)

1 2 71 142 1,063 2,126 75,473 150,946

Collatz Trajectory (113 steps to reach 1)

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

150,946 75,473 226,420 113,210 56,605 169,816 84,908 42,454 21,227 63,682 31,841 95,524 47,762 23,881 71,644 35,822 17,911 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750

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