601,909

7 × 11 × 7817

601,909 factors as 7 × 11 × 7817. Its 8 positive divisors give a proper-divisor sum of 148,619, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 7 × 11 × 7817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 750,528

Proper Divisor Sum 148,619

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #601903 ← → #601943

Radix Representation

Decimal	601909
Binary	10010010111100110101 (20 bits)
Octal	0o2227465
Hexadecimal	0x92F35

Divisor Catalog (8)

1 7 11 77 7,817 54,719 85,987 601,909

Collatz Trajectory (141 steps to reach 1)

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

601,909 1,805,728 902,864 451,432 225,716 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446

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