178,395

3 × 5 × 7 × 1699

178,395 factors as 3 × 5 × 7 × 1699. Its 16 positive divisors give a proper-divisor sum of 148,005, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 1699

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 326,400

Proper Divisor Sum 148,005

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #178393 ← → #178397

Radix Representation

Decimal	178395
Binary	101011100011011011 (18 bits)
Octal	0o534333
Hexadecimal	0x2B8DB

Divisor Catalog (16)

1 3 5 7 15 21 35 105 1,699 5,097 8,495 11,893 25,485 35,679 59,465 178,395

Collatz Trajectory (95 steps to reach 1)

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

178,395 535,186 267,593 802,780 401,390 200,695 602,086 301,043 903,130 451,565 1,354,696 677,348 338,674 169,337 508,012 254,006 127,003 381,010 190,505 571,516 285,758 142,879 428,638 214,319 642,958 321,479 964,438 482,219 1,446,658 723,329 2,169,988 1,084,994 542,497 1,627,492 813,746 406,873 1,220,620 610,310 305,155 915,466 457,733 1,373,200 686,600 343,300 171,650 85,825 257,476 128,738 64,369 193,108 96,554 48,277 144,832 72,416 36,208 18,104 9,052 4,526 2,263 6,790

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