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Atlas › Integer Profiles › Node 1,748,720

1,748,720

24 × 5 × 21859
Abundant Even Composite

1,748,720 factors as 2^4 × 5 × 21859. Its 20 positive divisors give a proper-divisor sum of 2,317,240, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 21859
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,065,960
Proper Divisor Sum 2,317,240
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1748711 ← → #1748723

Radix Representation

Decimal 1748720
Binary 110101010111011110000 (21 bits)
Octal 0o6527360
Hexadecimal 0x1AAEF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 21,859 43,718 87,436 109,295 174,872 218,590 349,744 437,180 874,360 1,748,720

Collatz Trajectory (96 steps to reach 1)

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

1,748,720 874,360 437,180 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570 700,285 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

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