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4,201,712

24 × 313 × 839
Deficient Even Composite

4,201,712 factors as 2^4 × 313 × 839. Its 20 positive divisors give a proper-divisor sum of 3,974,848, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 313 × 839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,176,560
Proper Divisor Sum 3,974,848
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4201711 ← → #4201727

Radix Representation

Decimal 4201712
Binary 10000000001110011110000 (23 bits)
Octal 0o20016360
Hexadecimal 0x401CF0

Divisor Catalog (20)

1 2 4 8 16 313 626 839 1,252 1,678 2,504 3,356 5,008 6,712 13,424 262,607 525,214 1,050,428 2,100,856 4,201,712

Collatz Trajectory (74 steps to reach 1)

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

4,201,712 2,100,856 1,050,428 525,214 262,607 787,822 393,911 1,181,734 590,867 1,772,602 886,301 2,658,904 1,329,452 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728 560,864 280,432 140,216 70,108 35,054 17,527 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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