λ
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Atlas › Integer Profiles › Node 2,124,759

2,124,759

3 × 7 × 13 × 43 × 181
Deficient Odd Composite

2,124,759 factors as 3 × 7 × 13 × 43 × 181. Its 32 positive divisors give a proper-divisor sum of 1,462,825, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 43 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,587,584
Proper Divisor Sum 1,462,825
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2124757 ← → #2124761

Radix Representation

Decimal 2124759
Binary 1000000110101111010111 (22 bits)
Octal 0o10065727
Hexadecimal 0x206BD7

Divisor Catalog (32)

1 3 7 13 21 39 43 91 129 181 273 301 543 559 903 1,267 1,677 2,353 3,801 3,913 7,059 7,783 11,739 16,471 23,349 49,413 54,481 101,179 163,443 303,537 708,253 2,124,759

Collatz Trajectory (104 steps to reach 1)

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

2,124,759 6,374,278 3,187,139 9,561,418 4,780,709 14,342,128 7,171,064 3,585,532 1,792,766 896,383 2,689,150 1,344,575 4,033,726 2,016,863 6,050,590 3,025,295 9,075,886 4,537,943 13,613,830 6,806,915 20,420,746 10,210,373 30,631,120 15,315,560 7,657,780 3,828,890 1,914,445 5,743,336 2,871,668 1,435,834 717,917 2,153,752 1,076,876 538,438 269,219 807,658 403,829 1,211,488 605,744 302,872 151,436 75,718 37,859 113,578 56,789 170,368 85,184 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248

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