421,817

11 × 31 × 1237

421,817 factors as 11 × 31 × 1237. Its 8 positive divisors give a proper-divisor sum of 53,575, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 11 × 31 × 1237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 475,392

Proper Divisor Sum 53,575

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #421807 ← → #421831

Radix Representation

Decimal	421817
Binary	1100110111110111001 (19 bits)
Octal	0o1467671
Hexadecimal	0x66FB9

Divisor Catalog (8)

1 11 31 341 1,237 13,607 38,347 421,817

Collatz Trajectory (104 steps to reach 1)

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

421,817 1,265,452 632,726 316,363 949,090 474,545 1,423,636 711,818 355,909 1,067,728 533,864 266,932 133,466 66,733 200,200 100,100 50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058

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