900,747

3³ × 73 × 457

900,747 factors as 3^3 × 73 × 457. Its 16 positive divisors give a proper-divisor sum of 454,933, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 73 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,355,680

Proper Divisor Sum 454,933

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #900743 ← → #900751

Radix Representation

Decimal	900747
Binary	11011011111010001011 (20 bits)
Octal	0o3337213
Hexadecimal	0xDBE8B

Divisor Catalog (16)

1 3 9 27 73 219 457 657 1,371 1,971 4,113 12,339 33,361 100,083 300,249 900,747

Collatz Trajectory (87 steps to reach 1)

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

900,747 2,702,242 1,351,121 4,053,364 2,026,682 1,013,341 3,040,024 1,520,012 760,006 380,003 1,140,010 570,005 1,710,016 855,008 427,504 213,752 106,876 53,438 26,719 80,158 40,079 120,238 60,119 180,358 90,179 270,538 135,269 405,808 202,904 101,452 50,726 25,363 76,090 38,045 114,136 57,068 28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953

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