1,050,350

2 × 5² × 7 × 3001

For 1,050,350, the 24 positive divisors have a total of 2,233,488. Removing 1,050,350 leaves 1,183,138, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 3001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,233,488

Proper Divisor Sum 1,183,138

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1050349 ← → #1050367

Radix Representation

Decimal	1050350
Binary	100000000011011101110 (21 bits)
Octal	0o4003356
Hexadecimal	0x1006EE

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 3,001 6,002 15,005 21,007 30,010 42,014 75,025 105,035 150,050 210,070 525,175 1,050,350

Collatz Trajectory (90 steps to reach 1)

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

1,050,350 525,175 1,575,526 787,763 2,363,290 1,181,645 3,544,936 1,772,468 886,234 443,117 1,329,352 664,676 332,338 166,169 498,508 249,254 124,627 373,882 186,941 560,824 280,412 140,206 70,103 210,310 105,155 315,466 157,733 473,200 236,600 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664

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