601,419

3 × 7 × 13 × 2203

601,419 factors as 3 × 7 × 13 × 2203. Its 16 positive divisors give a proper-divisor sum of 385,973, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 2203

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 987,392

Proper Divisor Sum 385,973

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #601411 ← → #601423

Radix Representation

Decimal	601419
Binary	10010010110101001011 (20 bits)
Octal	0o2226513
Hexadecimal	0x92D4B

Divisor Catalog (16)

1 3 7 13 21 39 91 273 2,203 6,609 15,421 28,639 46,263 85,917 200,473 601,419

Collatz Trajectory (234 steps to reach 1)

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

601,419 1,804,258 902,129 2,706,388 1,353,194 676,597 2,029,792 1,014,896 507,448 253,724 126,862 63,431 190,294 95,147 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374

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