2,200,510

2 × 5 × 13 × 16927

2,200,510 factors as 2 × 5 × 13 × 16927. Its 16 positive divisors give a proper-divisor sum of 2,065,346, so this integer is deficient. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 16927

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,265,856

Proper Divisor Sum 2,065,346

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #2200489 ← → #2200537

Radix Representation

Decimal	2200510
Binary	1000011001001110111110 (22 bits)
Octal	0o10311676
Hexadecimal	0x2193BE

Divisor Catalog (16)

1 2 5 10 13 26 65 130 16,927 33,854 84,635 169,270 220,051 440,102 1,100,255 2,200,510

Collatz Trajectory (303 steps to reach 1)

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

2,200,510 1,100,255 3,300,766 1,650,383 4,951,150 2,475,575 7,426,726 3,713,363 11,140,090 5,570,045 16,710,136 8,355,068 4,177,534 2,088,767 6,266,302 3,133,151 9,399,454 4,699,727 14,099,182 7,049,591 21,148,774 10,574,387 31,723,162 15,861,581 47,584,744 23,792,372 11,896,186 5,948,093 17,844,280 8,922,140 4,461,070 2,230,535 6,691,606 3,345,803 10,037,410 5,018,705 15,056,116 7,528,058 3,764,029 11,292,088 5,646,044 2,823,022 1,411,511 4,234,534 2,117,267 6,351,802 3,175,901 9,527,704 4,763,852 2,381,926 1,190,963 3,572,890 1,786,445 5,359,336 2,679,668 1,339,834 669,917 2,009,752 1,004,876 502,438

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