λ
Harmonic Matrix

110,074

2 × 47 × 1171
Deficient Even Composite

110,074 has digital root 4. The neighboring primes are 110069 and 110083; its proper-divisor sum differs from the starting integer by -51,380.

Prime Factor Structure

Factorization String 2 × 47 × 1171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 168,768
Proper Divisor Sum 58,694
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #110069 ← → #110083

Radix Representation

Decimal 110074
Binary 11010110111111010 (17 bits)
Octal 0o326772
Hexadecimal 0x1ADFA

Divisor Catalog (8)

1 2 47 94 1,171 2,342 55,037 110,074

Collatz Trajectory (123 steps to reach 1)

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

110,074 55,037 165,112 82,556 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946 357,473 1,072,420 536,210 268,105 804,316 402,158 201,079 603,238 301,619 904,858

More profiles

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