120,106

2 × 7 × 23 × 373

120,106 has digital root 1. The neighboring primes are 120103 and 120121; its proper-divisor sum differs from the starting integer by -24,788.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 215,424

Proper Divisor Sum 95,318

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #120103 ← → #120121

Radix Representation

Decimal	120106
Binary	11101010100101010 (17 bits)
Octal	0o352452
Hexadecimal	0x1D52A

Divisor Catalog (16)

1 2 7 14 23 46 161 322 373 746 2,611 5,222 8,579 17,158 60,053 120,106

Collatz Trajectory (167 steps to reach 1)

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

120,106 60,053 180,160 90,080 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576

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