178,006

2 × 89003

178,006 has digital root 4. The neighboring primes are 178001 and 178021; its proper-divisor sum differs from the starting integer by -89,000.

Prime Factor Structure

Factorization String 2 × 89003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 267,012

Proper Divisor Sum 89,006

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #178001 ← → #178021

Radix Representation

Decimal	178006
Binary	101011011101010110 (18 bits)
Octal	0o533526
Hexadecimal	0x2B756

Divisor Catalog (4)

1 2 89,003 178,006

Collatz Trajectory (121 steps to reach 1)

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

178,006 89,003 267,010 133,505 400,516 200,258 100,129 300,388 150,194 75,097 225,292 112,646 56,323 168,970 84,485 253,456 126,728 63,364 31,682 15,841 47,524 23,762 11,881 35,644 17,822 8,911 26,734 13,367 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132

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