λ
Harmonic Matrix

1,188,008

23 × 148501
Deficient Even Composite

1,188,008 has digital root 8. The neighboring primes are 1188007 and 1188017; its proper-divisor sum differs from the starting integer by -148,486.

Prime Factor Structure

Factorization String 2^3 × 148501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,227,530
Proper Divisor Sum 1,039,522
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1188007 ← → #1188017

Radix Representation

Decimal 1188008
Binary 100100010000010101000 (21 bits)
Octal 0o4420250
Hexadecimal 0x1220A8

Divisor Catalog (8)

1 2 4 8 148,501 297,002 594,004 1,188,008

Collatz Trajectory (67 steps to reach 1)

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

1,188,008 594,004 297,002 148,501 445,504 222,752 111,376 55,688 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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