λ
Harmonic Matrix

920,141

29 × 31729
Deficient Odd Composite

920,141 has digital root 8. The neighboring primes are 920137 and 920147; its proper-divisor sum differs from the starting integer by -888,382.

Prime Factor Structure

Factorization String 29 × 31729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 951,900
Proper Divisor Sum 31,759
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #920137 ← → #920147

Radix Representation

Decimal 920141
Binary 11100000101001001101 (20 bits)
Octal 0o3405115
Hexadecimal 0xE0A4D

Divisor Catalog (4)

1 29 31,729 920,141

Collatz Trajectory (139 steps to reach 1)

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

920,141 2,760,424 1,380,212 690,106 345,053 1,035,160 517,580 258,790 129,395 388,186 194,093 582,280 291,140 145,570 72,785 218,356 109,178 54,589 163,768 81,884 40,942 20,471 61,414 30,707 92,122 46,061 138,184 69,092 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134

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