872,935

5 × 7³ × 509

872,935 factors as 5 × 7^3 × 509. Its 16 positive divisors give a proper-divisor sum of 351,065, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,224,000

Proper Divisor Sum 351,065

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #872923 ← → #872947

Radix Representation

Decimal	872935
Binary	11010101000111100111 (20 bits)
Octal	0o3250747
Hexadecimal	0xD51E7

Divisor Catalog (16)

1 5 7 35 49 245 343 509 1,715 2,545 3,563 17,815 24,941 124,705 174,587 872,935

Collatz Trajectory (188 steps to reach 1)

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

872,935 2,618,806 1,309,403 3,928,210 1,964,105 5,892,316 2,946,158 1,473,079 4,419,238 2,209,619 6,628,858 3,314,429 9,943,288 4,971,644 2,485,822 1,242,911 3,728,734 1,864,367 5,593,102 2,796,551 8,389,654 4,194,827 12,584,482 6,292,241 18,876,724 9,438,362 4,719,181 14,157,544 7,078,772 3,539,386 1,769,693 5,309,080 2,654,540 1,327,270 663,635 1,990,906 995,453 2,986,360 1,493,180 746,590 373,295 1,119,886 559,943 1,679,830 839,915 2,519,746 1,259,873 3,779,620 1,889,810 944,905 2,834,716 1,417,358 708,679 2,126,038 1,063,019 3,189,058 1,594,529 4,783,588 2,391,794 1,195,897

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